Number

1,020

Positive
Even
Composite
4 digits

1,020 is an even 4-digit integer and a composite number. It has 24 divisors and a digital root of 3.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,020

Digit count4

Digit sum3

Digital root3repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 3 × 5 × 17

Distinct prime factors42, 3, 5, 17

Number of divisors24

Sum of divisors σ(n)3,024

Aliquot sum2,004sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)256integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1,02024 in total

Arithmetic

Previous number1,019

Next number1,021

Double2,040

Half510

Square1,040,400

Cube1,061,208,000

Square root31.937438845≈irrational, shown to 9 decimal places

Cube root10.066227096≈

Negation-1,020

Reciprocal0.0009803922≈

Representations

Decimal1,020

Binary111111110010 bits

Octal1774

Hexadecimal3FC

Base 36SC

Roman numeralMXX

In wordsone thousand and twenty

Ordinalone thousand and twentieth

Scientific notation1.02 × 10^3

Engineering notation1.02 × 10^3

Nearest landmarks

Next prime1,021+1

Previous prime1,019−1

Distance to nearest prime1

Nearest square below961

Nearest square above1,024

Powers & multiples

1,020 to the power 21,040,400

1,020 to the power 31,061,208,000

1,020 to the power 41,082,432,160,000

1,020 to the power 51,104,080,803,200,000

First ten multiples1,020, 2,040, 3,060, 4,080, 5,100, 6,120, 7,140, 8,160, 9,180, 10,200

Powers of twoBetween 2^9 (512) and 2^10 (1,024)

Divisibility tests

Divisible by 2Yes

Divisible by 3Yes

Divisible by 4Yes

Divisible by 5Yes

Divisible by 6Yes

Divisible by 7No, remainder 5

Divisible by 8No, remainder 4

Divisible by 9No, remainder 3

Divisible by 10Yes

Divisible by 11No, remainder 8

Divisible by 12Yes

Divisible by 100No, remainder 20

Collatz (3n + 1) trajectory

Steps to reach 149the total stopping time

Highest value reached13,12012× the starting value

Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven

First steps1,020 → 510 → 255 → 766 → 383 → 1,150 → 575 → 1,726 → 863 → 2,590 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage102,000%

1,020% as a decimal10.2

1,020% of 1001,020

1,020% of 1,00010,200

As a fraction of 1001,020/100

Read another way

As seconds17 minutes

As bytes1,020 B

As a year1020 AD

As a 24-bit colour#0003FC

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Neighbouring numbers

Derived from 1,020

Nearby primes

1020 (year)

Leap year
366 days
11th century
Monkey

1020 was a leap year of 366 days. It began on a Saturday and ended on a Sunday. Easter Sunday fell on 23 April.

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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 year52ISO 8601 weeks; 28 December is always in the final week

Days in February29

1 January fell on aSaturday

31 December fell on aSunday

Century11th century

Decade1020s

Chinese zodiacMonkey

Easter Sunday23 April

Months of 1020

January31 days, starts Saturday

February29 days, starts Tuesday

March31 days, starts Wednesday

April30 days, starts Saturday

May31 days, starts Monday

June30 days, starts Thursday

July31 days, starts Saturday

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-29,979,158,400

Unix timestamp at the end-29,947,536,001

Years from now1,006 years ago

Days from today367,686 days since 1 January

The number 1020

As a number1,020

In wordsone thousand and twenty

Roman numeralsMXX

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Neighbouring years

Key dates

Also reads as

#110022 (colour)

#110022
Violet
Dark
Nearest: Black

#110022 is a violet with RGB values 17, 0, 34 and HSL 270°, 100%, 7%. It is a dark colour, so white text on it reaches 20.1:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#110022#110022

HEX#110022

HEX (short)#102

RGBrgb(17, 0, 34)

RGB (0–1)0.0667, 0, 0.1333

RGB percentages6.7%, 0%, 13.3%

HSLhsl(270, 100%, 6.7%)

HSV / HSBhsv(270, 100%, 13.3%)

CMYK50%, 100%, 0%, 86.7%≈naive device-independent conversion; real print needs an ICC profile

24-bit integer1,114,146

CSS custom property--colour: #110022;

Brightness & contrast

Relative luminance0.00235WCAG 2.x, 0 is black and 1 is white

Perceived brightness14.8 of 255ITU-R BT.601 weighting

Light or darkDark

Best text colour on this backgroundWhitecontrast 20.06:1

Contrast with white20.06:1WCAG normal text: AAA

Contrast with black1.05:1WCAG normal text: Fail

Greyscale equivalent#060606

Inverted#EEFFDD

Colour vision & accessibility

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#000723no red cones; affects about 1% of men; ΔE 7.3 from the original

Deuteranopia#000821no green cones; the most common form, about 1% of men; ΔE 8.5 from the original

Tritanopia#0D060Fno blue cones; rare, and affects men and women equally; ΔE 16.6 from the original

Distinguishable without hueYesnever rely on hue alone to carry meaning

Contrast with white, large text20.06:1WCAG large text: AAA

Contrast with black, large text1.05:1WCAG large text: Fail

Named colours

Black · ΔE 21 Dark slate grey · ΔE 40 Midnight blue · ΔE 40.4 Dark slateblue · ΔE 40.6 Dim grey · ΔE 47.2 Rebecca purple · ΔE 52.9

Nearest named CSS colourBlack (#000000)ΔE 21.03, a distinctly different colour

Hue familyviolet

CSS keyword usableNo exact keyword

Colour harmonies

base +30°+90°+120°+180°+210°+240°+270°+330°

Complementary#112200

Analogous#000022, #220022

Triadic#221100, #002211

Split complementary#222200, #002200

Tetradic#220000, #112200, #002222

Tints, shades & saturation

+40%+30%+20%+10%base -10%-20%-30%-40%

Lighter +40%#7700EE

Lighter +30%#5E00BB

Lighter +20%#440088

Lighter +10%#2B0055

Darker −10%#000000

Darker −20%#000000

Darker −30%#000000

Darker −40%#000000

More saturated +25%#110022

Less saturated −25%#11041E

Channel breakdown

R17

B34

Red17 (6.7%)

Green0 (0%)

Blue34 (13.3%)

Hue270°

Saturation (HSL)100%

Lightness6.67%

Dominant channelBlue

Hex per channelR 11 · G 00 · B 22

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1,020

Number properties

Factors & divisors

Arithmetic

Representations

Nearest landmarks

Powers & multiples

Divisibility tests

Collatz (3n + 1) trajectory

As a percentage & fraction

Read another way

Keep nerding

Neighbouring numbers

Derived from 1,020

Nearby primes

Other readings

1020 (year)

Structure of the year

Months of 1020

Time references

The number 1020

Keep nerding

Neighbouring years

Key dates

#110022 (colour)

Colour values

Brightness & contrast

Colour vision & accessibility

Named colours

Colour harmonies

Tints, shades & saturation

Channel breakdown

Keep nerding

Harmonies

Lighter and darker

Similar named colours

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