Recognised as Number
1,060
- Positive
- Even
- Composite
- 4 digits
1,060 is an even 4-digit integer and a composite number. It has 12 divisors and a digital root of 7.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,060
Digit count4
Digit sum7
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 5 × 53
Distinct prime factors32, 5, 53
Number of divisors12
Sum of divisors σ(n)2,268
Aliquot sum1,208sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)416integers below n that share no factor with it
Carmichael function λ(n)52the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 416
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1,06012 in total
Arithmetic
Representations
Decimal1,060
Binary1000010010011 bits
Octal2044
Hexadecimal424
Base 36TG
Roman numeralMLX
In wordsone thousand and sixty
Ordinalone thousand and sixtieth
Scientific notation1.06 × 10^3
Engineering notation1.06 × 10^3
In other bases
Ternary1110021base 3; the most digit-efficient integer base after e: 7 digits
Quinary13220base 5; one hand: 5 digits
Septenary3043base 7: 4 digits
Nonary1407base 9; each digit is two ternary digits: 4 digits
Duodecimal744base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2d0base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal17:40base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary11101T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10001100100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000010000100100
Bit length11 bitsto write the magnitude
Set bits3the population count, or Hamming weight
Zero bits8within that length
Bit parityodd3 set bits, so odd; not the same as the number itself being even
Highest set bitbit 10worth 1,024
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes204 24
Gray code11000110110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000010000100100
32-bit00000000000000000000010000100100
64-bit0000000000000000000000000000000000000000000000000000010000100100
One's complement1111101111011011at 16 bits, every bit flipped
Bits reversed0010010000100000at 16 bits
Rotated left by 10000100001001000at 16 bits, wrapping
Shifted left by 1100001001000= 2,120, no wrap
Shifted right by 11000010010= 530, discarding the low bit
These bits as a double5.23709585 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,060 to the power 21,123,600
1,060 to the power 31,191,016,000
1,060 to the power 41,262,476,960,000
1,060 to the power 51,338,225,577,600,000
First ten multiples1,060, 2,120, 3,180, 4,240, 5,300, 6,360, 7,420, 8,480, 9,540, 10,600
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 4
Divisible by 7No, remainder 3
Divisible by 8No, remainder 4
Divisible by 9No, remainder 7
Divisible by 10Yes
Divisible by 11No, remainder 4
Divisible by 12No, remainder 4
Divisible by 100No, remainder 60
Collatz (3n + 1) trajectory
Steps to reach 1124the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,060 → 530 → 265 → 796 → 398 → 199 → 598 → 299 → 898 → 449 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage106,000%
1,060% as a decimal10.6
1,060% of 1001,060
1,060% of 1,00010,600
As a fraction of 1001,060/100
Read another way
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Derived from 1,060
Also reads as
1060 (year)
- Leap year
- 366 days
- 11th century
- Rat
1060 was a leap year of 366 days. It began on a Sunday and ended on a Monday. Easter Sunday fell on 1 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Sunday and Monday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays53one of the extras
Mondays53one of the extras
Tuesdays52
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th3 of them13 January, 13 April, 13 July
ISO weeks52an ordinary 52-week year
Same calendar as1032the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1088, 1128, 115628 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1060
January31 days, starts Sunday
February29 days, starts Wednesday
September30 days, starts Saturday
October31 days, starts Monday
November30 days, starts Thursday
December31 days, starts Saturday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start-28,716,854,400
Unix timestamp at the end-28,685,232,001
Years from now966 years ago
Days from today353,080 days since 1 January
The number 1060
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Also reads as
#110066 (colour)
- #110066
- Blue
- Dark
- Nearest: Midnight blue
#110066 is a blue with RGB values 17, 0, 102 and HSL 250°, 100%, 20%. It is a dark colour, so white text on it reaches 17.3:1 contrast (AAA for normal text). The nearest named colour is Midnight blue.
Colour values
#110066#110066
HEX#110066
HEX (short)#106
RGBrgb(17, 0, 102)
RGB (0–1)0.0667, 0, 0.4
RGB percentages6.7%, 0%, 40%
HSLhsl(250, 100%, 20%)
HSV / HSBhsv(250, 100%, 40%)
CMYK83.3%, 100%, 0%, 60%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,114,214
CSS custom property--colour: #110066;
Brightness & contrast
Relative luminance0.01078WCAG 2.x, 0 is black and 1 is white
Perceived brightness35.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 17.27:1
Contrast with white17.27:1WCAG normal text: AAA
Contrast with black1.22:1WCAG normal text: Fail
Greyscale equivalent#0B0B0B
Inverted#EEFF99
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text17.27:1WCAG large text: AAA
Contrast with black, large text1.22:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#556600
Analogous#002266, #440066
Triadic#661100, #006611
Split complementary#664400, #226600
Tetradic#660022, #556600, #006644
Tints, shades & saturation
Channel breakdown
R17
G0
B102
Red17 (6.7%)
Green0 (0%)
Blue102 (40%)
Hue250°
Saturation (HSL)100%
Lightness20%
Dominant channelBlue
Hex per channelR 11 · G 00 · B 66
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