Recognised as Number
1,139
- Positive
- Odd
- Composite
- 4 digits
1,139 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 5.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value1,139
Digit count4
Digit sum14
Digit product27
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation17 × 67
Distinct prime factors217, 67
Number of divisors4
Sum of divisors σ(n)1,224
Aliquot sum85sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)1,056integers below n that share no factor with it
Carmichael function λ(n)528the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 1,056
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 17, 67, 1,1394 in total
Arithmetic
Representations
Decimal1,139
Binary1000111001111 bits
Octal2163
Hexadecimal473
Base 36VN
Roman numeralMCXXXIX
In wordsone thousand, one hundred and thirty-nine
Ordinalone thousand, one hundred and thirty-ninth
Scientific notation1.139 × 10^3
Engineering notation1.139 × 10^3
In other bases
Ternary1120012base 3; the most digit-efficient integer base after e: 7 digits
Quinary14024base 5; one hand: 5 digits
Septenary3215base 7: 4 digits
Nonary1505base 9; each digit is two ternary digits: 4 digits
Duodecimal7abbase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2gjbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal18:59base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TTT01TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10110110111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000010001110011
Bit length11 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits5within that length
Bit parityeven6 set bits, so even; not the same as the number itself being odd
Highest set bitbit 10worth 1,024
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes204 73
Gray code11001001010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000010001110011
32-bit00000000000000000000010001110011
64-bit0000000000000000000000000000000000000000000000000000010001110011
One's complement1111101110001100at 16 bits, every bit flipped
Bits reversed1100111000100000at 16 bits
Rotated left by 10000100011100110at 16 bits, wrapping
Shifted left by 1100011100110= 2,278, no wrap
Shifted right by 11000111001= 569, discarding the low bit
These bits as a double5.62740771 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,139 to the power 21,297,321
1,139 to the power 31,477,648,619
1,139 to the power 41,683,041,777,041
1,139 to the power 51,916,984,584,049,699
First ten multiples1,139, 2,278, 3,417, 4,556, 5,695, 6,834, 7,973, 9,112, 10,251, 11,390
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 3
Divisible by 5No, remainder 4
Divisible by 6No, remainder 5
Divisible by 7No, remainder 5
Divisible by 8No, remainder 3
Divisible by 9No, remainder 5
Divisible by 10No, remainder 9
Divisible by 11No, remainder 6
Divisible by 12No, remainder 11
Divisible by 100No, remainder 39
Collatz (3n + 1) trajectory
Steps to reach 157the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,139 → 3,418 → 1,709 → 5,128 → 2,564 → 1,282 → 641 → 1,924 → 962 → 481 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage113,900%
1,139% as a decimal11.39
1,139% of 1001,139
1,139% of 1,00011,390
As a fraction of 1001,139/100
Read another way
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Derived from 1,139
Also reads as
1139 (year)
- Common year
- 365 days
- 12th century
- Goat
1139 was a common year of 365 days. It began on a Sunday and ended on a Sunday. Easter Sunday fell on 26 March.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Sunday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays53one of the extras
Mondays52
Tuesdays52
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th2 of them13 January, 13 October
ISO weeks52an ordinary 52-week year
Same calendar as1133the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1150, 1161, 116711 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1139
January31 days, starts Sunday
February28 days, starts Wednesday
August31 days, starts Tuesday
September30 days, starts Friday
October31 days, starts Sunday
November30 days, starts Wednesday
December31 days, starts Friday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start-26,223,868,800
Unix timestamp at the end-26,192,332,801
Years from now887 years ago
Days from today324,227 days since 1 January
The number 1139
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Also reads as
#111133 (colour)
- #111133
- Blue
- Dark
- Nearest: Black
#111133 is a blue with RGB values 17, 17, 51 and HSL 240°, 50%, 13%. It is a dark colour, so white text on it reaches 18.2:1 contrast (AAA for normal text). The nearest named colour is Black.
Colour values
#111133#111133
HEX#111133
HEX (short)#113
RGBrgb(17, 17, 51)
RGB (0–1)0.0667, 0.0667, 0.2
RGB percentages6.7%, 6.7%, 20%
HSLhsl(240, 50%, 13.3%)
HSV / HSBhsv(240, 66.7%, 20%)
CMYK66.7%, 66.7%, 0%, 80%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,118,515
CSS custom property--colour: #111133;
Brightness & contrast
Relative luminance0.00759WCAG 2.x, 0 is black and 1 is white
Perceived brightness23.5 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 18.23:1
Contrast with white18.23:1WCAG normal text: AAA
Contrast with black1.15:1WCAG normal text: Fail
Greyscale equivalent#131313
Inverted#EEEECC
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text18.23:1WCAG large text: AAA
Contrast with black, large text1.15:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#333311
Analogous#112233, #221133
Triadic#331111, #113311
Split complementary#332211, #223311
Tetradic#331122, #333311, #113322
Tints, shades & saturation
Channel breakdown
R17
G17
B51
Red17 (6.7%)
Green17 (6.7%)
Blue51 (20%)
Hue240°
Saturation (HSL)50%
Lightness13.33%
Dominant channelBlue
Hex per channelR 11 · G 11 · B 33
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Harmonies
Similar named colours
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