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Number

540

  • Positive
  • Even
  • Composite
  • 3 digits

540 is an even 3-digit integer and a composite number. It has 24 divisors and a digital root of 9.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value540
Digit count3
Digit sum9
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 3^3 × 5
Distinct prime factors32, 3, 5
Number of divisors24
Sum of divisors σ(n)1,680
Aliquot sum1,140sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)144integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 54024 in total

Arithmetic

Previous number539
Next number541
Double1,080
Half270
Square291,600
Square root23.237900077irrational, shown to 9 decimal places
Cube root8.14325285
Negation-540
Reciprocal0.0018518519
540 factorial5482314067082319508960202454882408534297… (1,243 digits)

Representations

Decimal540
Binary100001110010 bits
Octal1034
Hexadecimal21C
Base 36F0
Roman numeralDXL
In wordsfive hundred and forty
Ordinalfive hundred and fortieth
Scientific notation5.4 × 10^2
Engineering notation540

Nearest landmarks

Next prime541+1
Previous prime523−17
Distance to nearest prime1
Nearest square below529
Nearest square above576

Powers & multiples

540 to the power 2291,600
540 to the power 3157,464,000
540 to the power 485,030,560,000
540 to the power 545,916,502,400,000
First ten multiples540, 1,080, 1,620, 2,160, 2,700, 3,240, 3,780, 4,320, 4,860, 5,400
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 1
Divisible by 8No, remainder 4
Divisible by 9Yes
Divisible by 10Yes
Divisible by 11No, remainder 1
Divisible by 12Yes
Divisible by 100No, remainder 40

Collatz (3n + 1) trajectory

Steps to reach 143the total stopping time
Highest value reached9161× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps540 → 270 → 135 → 406 → 203 → 610 → 305 → 916 → 458 → 229 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage54,000%
540% as a decimal5.4
540% of 100540
540% of 1,0005,400
As a fraction of 100540/100

Read another way

As seconds9 minutes
As bytes540 B
As a 24-bit colour#00021C

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Also reads as

#554400 (colour)

  • #554400
  • Yellow
  • Dark
  • Nearest: Dark olivegreen

#554400 is a yellow with RGB values 85, 68, 0 and HSL 48°, 100%, 17%. It is a dark colour, so white text on it reaches 9.5:1 contrast (AAA for normal text). The nearest named colour is Dark olivegreen.

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Colour values

#554400#554400
HEX#554400
HEX (short)#540
RGBrgb(85, 68, 0)
RGB (0–1)0.3333, 0.2667, 0
RGB percentages33.3%, 26.7%, 0%
HSLhsl(48, 100%, 16.7%)
HSV / HSBhsv(48, 100%, 33.3%)
CMYK0%, 20%, 100%, 66.7%naive device-independent conversion; real print needs an ICC profile
24-bit integer5,587,968
CSS custom property--colour: #554400;

Brightness & contrast

Relative luminance0.06066WCAG 2.x, 0 is black and 1 is white
Perceived brightness69.8 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 9.49:1
Contrast with white9.49:1WCAG normal text: AAA
Contrast with black2.21:1WCAG normal text: Fail
Greyscale equivalent#434343
Inverted#AABBFF

Colour vision & accessibility

Protanopia#4D4300no red cones; affects about 1% of men; ΔE 4 from the original
Deuteranopia#514805no green cones; the most common form, about 1% of men; ΔE 4.7 from the original
Tritanopia#5D3D39no blue cones; rare, and affects men and women equally; ΔE 33.1 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text9.49:1WCAG large text: AAA
Contrast with black, large text2.21:1WCAG large text: Fail

Named colours

Nearest named CSS colourDark olivegreen (#556B2F)ΔE 24.5, a distinctly different colour
Hue familyyellow
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#001155
Analogous#551900, #3B5500
Triadic#005544, #440055
Split complementary#003C55, #190055
Tetradic#005519, #001155, #55003C

Tints, shades & saturation

Lighter +40%#FFD322
Lighter +30%#EEBE00
Lighter +20%#BB9600
Lighter +10%#886D00
Darker −10%#221B00
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#554400
Less saturated −25%#4A3E0B

Channel breakdown

R85
G68
B0
Red85 (33.3%)
Green68 (26.7%)
Blue0 (0%)
Hue48°
Saturation (HSL)100%
Lightness16.67%
Dominant channelRed
Hex per channelR 55 · G 44 · B 00

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Every value on this page was computed from “540” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.