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Recognised as Number

1,390

  • Positive
  • Even
  • Composite
  • 4 digits

1,390 is an even 4-digit integer and a composite number. It has 8 divisors and a digital root of 4.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,390
Digit count4
Digit sum13
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 5 × 139
Distinct prime factors32, 5, 139
Number of divisors8
Sum of divisors σ(n)2,520
Aliquot sum1,130sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)552integers below n that share no factor with it
Carmichael function λ(n)276the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 552
Möbius function μ(n)−13 distinct prime factors, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 2, 5, 10, 139, 278, 695, 1,3908 in total

Arithmetic

Previous number1,389
Next number1,391
Double2,780
Half695
Square1,932,100
Cube2,685,619,000
Square root37.282703765≈irrational, shown to 9 decimal places
Cube root11.160190299≈
Negation-1,390
Reciprocal0.0007194245≈

Representations

Decimal1,390
Binary1010110111011 bits
Octal2556
Hexadecimal56E
Base 3612M
Roman numeralMCCCXC
In wordsone thousand, three hundred and ninety
Ordinalone thousand, three hundred and ninetieth
Scientific notation1.39 × 10^3
Engineering notation1.39 × 10^3

In other bases

Ternary1220111base 3; the most digit-efficient integer base after e: 7 digits
Quinary21030base 5; one hand: 5 digits
Septenary4024base 7: 4 digits
Nonary1814base 9; each digit is two ternary digits: 4 digits
Duodecimal97abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal39abase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal23:10base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1T0T0111digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101010110010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0000010101101110
Bit length11 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits4within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 10worth 1,024
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes205 6e
Gray code11111011001n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0000010101101110
32-bit00000000000000000000010101101110
64-bit0000000000000000000000000000000000000000000000000000010101101110
One's complement1111101010010001at 16 bits, every bit flipped
Bits reversed0111011010100000at 16 bits
Rotated left by 10000101011011100at 16 bits, wrapping
Shifted left by 1101011011100= 2,780, no wrap
Shifted right by 11010110111= 695, discarding the low bit
These bits as a double6.86751248 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,399+9
Previous prime1,381−9
Distance to nearest prime9
Nearest square below1,369
Nearest square above1,444

Powers & multiples

1,390 to the power 21,932,100
1,390 to the power 32,685,619,000
1,390 to the power 43,733,010,410,000
1,390 to the power 55,188,884,469,900,000
First ten multiples1,390, 2,780, 4,170, 5,560, 6,950, 8,340, 9,730, 11,120, 12,510, 13,900
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)

Divisibility tests

Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4No, remainder 2
Divisible by 5Yes
Divisible by 6No, remainder 4
Divisible by 7No, remainder 4
Divisible by 8No, remainder 6
Divisible by 9No, remainder 4
Divisible by 10Yes
Divisible by 11No, remainder 4
Divisible by 12No, remainder 10
Divisible by 100No, remainder 90

Collatz (3n + 1) trajectory

Steps to reach 1127the total stopping time
Highest value reached9,2326× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,390 → 695 → 2,086 → 1,043 → 3,130 → 1,565 → 4,696 → 2,348 → 1,174 → 587 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage139,000%
1,390% as a decimal13.9
1,390% of 1001,390
1,390% of 1,00013,900
As a fraction of 1001,390/100

Read another way

As seconds23 minutes and 10 seconds
As bytes1.357 KiB
As a year1390 AD
As a 24-bit colour#00056E

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Neighbouring numbers

Nearby primes

Also reads as

1390 (year)

  • Common year
  • 365 days
  • 14th century
  • Horse

1390 was a common year of 365 days. It began on a Friday and ended on a Friday. Easter Sunday fell on 11 April.

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Structure of the year

Leap yearNonot divisible by 4
Days in the year365
Days in February28
1 January fell on aFriday
31 December fell on aFriday
Century14th century
Decade1390s
Chinese zodiacHorse
Easter Sunday11 April

Patterns forced by the calendar

Weekday counts52 of each, plus an extra Friday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays52
Fridays53one of the extras
Saturdays52
Friday the 13th1 of them13 August
ISO weeks52an ordinary 52-week year
Same calendar as1379the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1402, 1413, 141912 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year

Months of 1390

January31 days, starts Friday
February28 days, starts Monday
March31 days, starts Monday
April30 days, starts Thursday
May31 days, starts Saturday
June30 days, starts Tuesday
July31 days, starts Thursday
August31 days, starts Sunday
September30 days, starts Wednesday
October31 days, starts Friday
November30 days, starts Monday
December31 days, starts Wednesday

Time references

These values depend on today’s date and change daily.

Unix timestamp at the start-18,302,976,000
Unix timestamp at the end-18,271,440,001
Years from now636 years ago
Days from today232,556 days since 1 January

The number 1390

As a number1,390
In wordsone thousand, three hundred and ninety
Roman numeralsMCCCXC

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Neighbouring years

Also reads as

#113399 (colour)

  • #113399
  • Blue
  • Dark
  • Nearest: Midnight blue

#113399 is a blue with RGB values 17, 51, 153 and HSL 225°, 80%, 33%. It is a dark colour, so white text on it reaches 10.7:1 contrast (AAA for normal text). The nearest named colour is Midnight blue.

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Colour values

#113399#113399
HEX#113399
HEX (short)#139
RGBrgb(17, 51, 153)
RGB (0–1)0.0667, 0.2, 0.6
RGB percentages6.7%, 20%, 60%
HSLhsl(225, 80%, 33.3%)
HSV / HSBhsv(225, 88.9%, 60%)
CMYK88.9%, 66.7%, 0%, 40%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,127,321
CSS custom property--colour: #113399;

Brightness & contrast

Relative luminance0.04787WCAG 2.x, 0 is black and 1 is white
Perceived brightness65.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 10.73:1
Contrast with white10.73:1WCAG normal text: AAA
Contrast with black1.96:1WCAG normal text: Fail
Greyscale equivalent#333333
Inverted#EECC66

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#00449Cno red cones; affects about 1% of men; ΔE 13.5 from the original
Deuteranopia#003897no green cones; the most common form, about 1% of men; ΔE 5.7 from the original
Tritanopia#004F61no blue cones; rare, and affects men and women equally; ΔE 60.7 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text10.73:1WCAG large text: AAA
Contrast with black, large text1.96:1WCAG large text: Fail

Named colours

Midnight blue · ΔE 13.8Dark slateblue · ΔE 17.5Rebecca purple · ΔE 18.7Slate blue · ΔE 20.3Royal blue · ΔE 23Navy · ΔE 23
Nearest named CSS colourMidnight blue (#191970)ΔE 13.75, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#997711
Analogous#117799, #331199
Triadic#991133, #339911
Split complementary#993311, #779911
Tetradic#991177, #997711, #119933

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#85A0F1
Lighter +30%#577CEC
Lighter +20%#2958E7
Lighter +10%#1642C7
Darker −10%#0C246B
Darker −20%#07143D
Darker −30%#02050F
Darker −40%#000000
More saturated +25%#002AAA
Less saturated −25%#263E84

Channel breakdown

R17
G51
B153
Red17 (6.7%)
Green51 (20%)
Blue153 (60%)
Hue225°
Saturation (HSL)80%
Lightness33.33%
Dominant channelBlue
Hex per channelR 11 · G 33 · B 99

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Every value on this page was computed from “1390” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.