Recognised as Number
520,020
- Positive
- Even
- Composite
- 6 digits
520,020 is an even 6-digit integer and a composite number. It has 72 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value520,020
Digit count6
Digit sum9
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
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 × 3^5 × 5 × 107
Distinct prime factors42, 3, 5, 107
Number of divisors72
Sum of divisors σ(n)1,651,104
Aliquot sum1,131,084sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)137,376integers below n that share no factor with it
Carmichael function λ(n)17,172the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 137,376
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 107, 108, 135, 162, 180, 214, 243, 270, 321, 324, 405, 428, 486, 535, 540, 642, 810, 963, 972, 1,070, 1,215, 1,284, 1,605, 1,620, 1,926, 2,140, 2,430, 2,889, 3,210, 3,852, 4,815, 4,860, 5,778, 6,420, 8,667, 9,630, 11,556, 14,445, 17,334, 19,260, 26,001, 28,890, 34,668, 43,335, 52,002, 57,780, 86,670, 104,004, 130,005, 173,340, 260,010, 520,02072 in total
Arithmetic
Representations
Decimal520,020
Binary111111011110101010019 bits
Octal1767524
Hexadecimal7EF54
Base 36B590
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfive hundred and twenty thousand and twenty
Ordinalfive hundred and twenty thousand and twentieth
Scientific notation5.2002 × 10^5
Engineering notation520.02 × 10^3
In other bases
Ternary222102100000base 3; the most digit-efficient integer base after e: 12 digits
Quinary113120040base 5; one hand: 9 digits
Septenary4264044base 7: 7 digits
Nonary872300base 9; each digit is two ternary digits: 6 digits
Duodecimal210b30base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal35010base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal2:24:27:0base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary100T11T100000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110000011001101010100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001111110111101010100
Bit length19 bitsto write the magnitude
Set bits13the population count, or Hamming weight
Zero bits6within that length
Bit parityodd13 set bits, so odd; not the same as the number itself being even
Highest set bitbit 18worth 262,144
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes307 ef 54
Gray code1000001100011111110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001111110111101010100
64-bit0000000000000000000000000000000000000000000001111110111101010100
One's complement11111111111110000001000010101011at 32 bits, every bit flipped
Bits reversed00101010111101111110000000000000at 32 bits
Rotated left by 100000000000011111101111010101000at 32 bits, wrapping
Shifted left by 111111101111010101000= 1,040,040, no wrap
Shifted right by 1111111011110101010= 260,010, discarding the low bit
These bits as a double2.56924017 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
520,020 to the power 2270,420,800,400
520,020 to the power 3140,624,224,624,008,000
520,020 to the power 473,127,409,288,976,640,160,000
520,020 to the power 538,027,715,378,453,632,416,003,200,000
First ten multiples520,020, 1,040,040, 1,560,060, 2,080,080, 2,600,100, 3,120,120, 3,640,140, 4,160,160, 4,680,180, 5,200,200
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 4
Divisible by 8No, remainder 4
Divisible by 9Yes
Divisible by 10Yes
Divisible by 11No, remainder 6
Divisible by 12Yes
Divisible by 100No, remainder 20
Collatz (3n + 1) trajectory
Steps to reach 171the total stopping time
Highest value reached520,020
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps520,020 → 260,010 → 130,005 → 390,016 → 195,008 → 97,504 → 48,752 → 24,376 → 12,188 → 6,094 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage52,002,000%
520,020% as a decimal5,200.2
520,020% of 100520,020
520,020% of 1,0005,200,200
As a fraction of 100520,020/100
Read another way
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Derived from 520,020
Also reads as
#520020 (colour)
- #520020
- Red
- Dark
- Nearest: Brown
#520020 is a red with RGB values 82, 0, 32 and HSL 337°, 100%, 16%. It is a dark colour, so white text on it reaches 15.2:1 contrast (AAA for normal text). The nearest named colour is Brown.
Colour values
#520020#520020
HEX#520020
RGBrgb(82, 0, 32)
RGB (0–1)0.3216, 0, 0.1255
RGB percentages32.2%, 0%, 12.5%
HSLhsl(336.6, 100%, 16.1%)
HSV / HSBhsv(336.6, 100%, 32.2%)
CMYK0%, 100%, 61%, 67.8%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer5,373,984
CSS custom property--colour: #520020;
Brightness & contrast
Relative luminance0.01898WCAG 2.x, 0 is black and 1 is white
Perceived brightness46.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 15.22:1
Contrast with white15.22:1WCAG normal text: AAA
Contrast with black1.38:1WCAG normal text: Fail
Greyscale equivalent#141414
Inverted#ADFFDF
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text15.22:1WCAG large text: AAA
Contrast with black, large text1.38:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#005232
Analogous#520049, #520900
Triadic#205200, #002052
Split complementary#005209, #004952
Tetradic#495200, #005232, #090052
Tints, shades & saturation
Channel breakdown
R82
G0
B32
Red82 (32.2%)
Green0 (0%)
Blue32 (12.5%)
Hue336.59°
Saturation (HSL)100%
Lightness16.08%
Dominant channelRed
Hex per channelR 52 · G 00 · B 20
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