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Number

1,120

  • Positive
  • Even
  • Composite
  • 4 digits

1,120 is an even 4-digit integer and a composite number. It has 24 divisors and a digital root of 4.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,120
Digit count4
Digit sum4
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^5 × 5 × 7
Distinct prime factors32, 5, 7
Number of divisors24
Sum of divisors σ(n)3,024
Aliquot sum1,904sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)384integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1,12024 in total

Arithmetic

Previous number1,119
Next number1,121
Double2,240
Half560
Square1,254,400
Square root33.466401061irrational, shown to 9 decimal places
Cube root10.384988204
Negation-1,120
Reciprocal0.0008928571

Representations

Decimal1,120
Binary1000110000011 bits
Octal2140
Hexadecimal460
Base 36V4
Roman numeralMCXX
In wordsone thousand, one hundred and twenty
Ordinalone thousand, one hundred and twentieth
Scientific notation1.12 × 10^3
Engineering notation1.12 × 10^3

Nearest landmarks

Next prime1,123+3
Previous prime1,117−3
Distance to nearest prime3
Nearest square below1,089
Nearest square above1,156

Powers & multiples

1,120 to the power 21,254,400
1,120 to the power 31,404,928,000
1,120 to the power 41,573,519,360,000
1,120 to the power 51,762,341,683,200,000
First ten multiples1,120, 2,240, 3,360, 4,480, 5,600, 6,720, 7,840, 8,960, 10,080, 11,200
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 7Yes
Divisible by 8Yes
Divisible by 9No, remainder 4
Divisible by 10Yes
Divisible by 11No, remainder 9
Divisible by 12No, remainder 4
Divisible by 100No, remainder 20

Collatz (3n + 1) trajectory

Steps to reach 118the total stopping time
Highest value reached1,120
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,120 → 560 → 280 → 140 → 70 → 35 → 106 → 53 → 160 → 80 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage112,000%
1,120% as a decimal11.2
1,120% of 1001,120
1,120% of 1,00011,200
As a fraction of 1001,120/100

Read another way

As bytes1.094 KiB
As a year1120 AD
As a 24-bit colour#000460

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Also reads as

1120 (year)

  • Leap year
  • 366 days
  • 12th century
  • Rat

1120 was a leap year of 366 days. It began on a Thursday and ended on a Friday. Easter Sunday fell on 28 March.

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Structure of the year

Leap yearYesdivisible by 4, and by 400 if divisible by 100
Days in the year366
Weeks in the year53ISO 8601 weeks; 28 December is always in the final week
Days in February29
1 January fell on aThursday
31 December fell on aFriday
Century12th century
Decade1120s
Chinese zodiacRat
Easter Sunday28 March

Months of 1120

Time references

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

Unix timestamp at the start-26,823,484,800
Unix timestamp at the end-26,791,862,401
Years from now906 years ago
Days from today331,163 days since 1 January

The number 1120

As a number1,120
In wordsone thousand, one hundred and twenty
Roman numeralsMCXX

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Also reads as

#111122 (colour)

  • #111122
  • Blue
  • Dark
  • Nearest: Black

#111122 is a blue with RGB values 17, 17, 34 and HSL 240°, 33%, 10%. It is a dark colour, so white text on it reaches 18.6:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#111122#111122
HEX#111122
HEX (short)#112
RGBrgb(17, 17, 34)
RGB (0–1)0.0667, 0.0667, 0.1333
RGB percentages6.7%, 6.7%, 13.3%
HSLhsl(240, 33.3%, 10%)
HSV / HSBhsv(240, 50%, 13.3%)
CMYK50%, 50%, 0%, 86.7%naive device-independent conversion; real print needs an ICC profile
24-bit integer1,118,498
CSS custom property--colour: #111122;

Brightness & contrast

Relative luminance0.00636WCAG 2.x, 0 is black and 1 is white
Perceived brightness19.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 18.63:1
Contrast with white18.63:1WCAG normal text: AAA
Contrast with black1.13:1WCAG normal text: Fail
Greyscale equivalent#121212
Inverted#EEEEDD

Colour vision & accessibility

Protanopia#0B1323no red cones; affects about 1% of men; ΔE 2.8 from the original
Deuteranopia#0B1222no green cones; the most common form, about 1% of men; ΔE 2.5 from the original
Tritanopia#0C1417no blue cones; rare, and affects men and women equally; ΔE 11 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text18.63:1WCAG large text: AAA
Contrast with black, large text1.13:1WCAG large text: Fail

Named colours

Nearest named CSS colourBlack (#000000)ΔE 13.69, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#222211
Analogous#111A22, #1A1122
Triadic#221111, #112211
Split complementary#221A11, #1A2211
Tetradic#22111A, #222211, #11221A

Tints, shades & saturation

Lighter +40%#5555AA
Lighter +30%#444488
Lighter +20%#333366
Lighter +10%#222244
Darker −10%#000000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#0B0B28
Less saturated −25%#17171C

Channel breakdown

R17
G17
B34
Red17 (6.7%)
Green17 (6.7%)
Blue34 (13.3%)
Hue240°
Saturation (HSL)33.33%
Lightness10%
Dominant channelBlue
Hex per channelR 11 · G 11 · B 22

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Every value on this page was computed from “1120” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.