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Recognised as Number

133,020

  • Positive
  • Even
  • Composite
  • 6 digits

133,020 is an even 6-digit integer and a composite number. It has 36 divisors and a digital root of 9.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value133,020
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 numberYessquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 3^2 × 5 × 739
Distinct prime factors42, 3, 5, 739
Number of divisors36
Sum of divisors σ(n)404,040
Aliquot sum271,020sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)35,424integers below n that share no factor with it
Carmichael function λ(n)1,476the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 35,424
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, 30, 36, 45, 60, 90, 180, 739, 1,478, 2,217, 2,956, 3,695, 4,434, 6,651, 7,390, 8,868, 11,085, 13,302, 14,780, 22,170, 26,604, 33,255, 44,340, 66,510, 133,02036 in total

Arithmetic

Previous number133,019
Next number133,021
Double266,040
Half66,510
Square17,694,320,400
Cube2,353,698,499,608,000
Square root364.71906997≈irrational, shown to 9 decimal places
Cube root51.047245723≈
Negation-133,020
Reciprocal0.0000075177≈

Representations

Decimal133,020
Binary10000001111001110018 bits
Octal403634
Hexadecimal2079C
Base 362UN0
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred and thirty-three thousand and twenty
Ordinalone hundred and thirty-three thousand and twentieth
Scientific notation1.3302 × 10^5
Engineering notation133.02 × 10^3

In other bases

Ternary20202110200base 3; the most digit-efficient integer base after e: 11 digits
Quinary13224040base 5; one hand: 8 digits
Septenary1062546base 7: 7 digits
Nonary222420base 9; each digit is two ternary digits: 6 digits
Duodecimal64b90base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimalgcb0base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal36:57:0base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T1T1T111T00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100001100011101100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000000100000011110011100
Bit length18 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits10within that length
Bit parityeven8 set bits, so even; not the same as the number itself being even
Highest set bitbit 17worth 131,072
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes302 07 9c
Gray code110000010001010010n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000000100000011110011100
64-bit0000000000000000000000000000000000000000000000100000011110011100
One's complement11111111111111011111100001100011at 32 bits, every bit flipped
Bits reversed00111001111000000100000000000000at 32 bits
Rotated left by 100000000000001000000111100111000at 32 bits, wrapping
Shifted left by 11000000111100111000= 266,040, no wrap
Shifted right by 110000001111001110= 66,510, discarding the low bit
These bits as a double6.57206122 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime133,033+13
Previous prime133,013−7
Distance to nearest prime7
Nearest square below132,496
Nearest square above133,225

Powers & multiples

133,020 to the power 217,694,320,400
133,020 to the power 32,353,698,499,608,000
133,020 to the power 4313,088,974,417,856,160,000
133,020 to the power 541,647,095,377,063,226,403,200,000
First ten multiples133,020, 266,040, 399,060, 532,080, 665,100, 798,120, 931,140, 1,064,160, 1,197,180, 1,330,200
Powers of twoBetween 2^17 (131,072) and 2^18 (262,144)

Divisibility tests

Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 6
Divisible by 8No, remainder 4
Divisible by 9Yes
Divisible by 10Yes
Divisible by 11No, remainder 8
Divisible by 12Yes
Divisible by 100No, remainder 20

Collatz (3n + 1) trajectory

Steps to reach 1193the total stopping time
Highest value reached378,8082× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps133,020 → 66,510 → 33,255 → 99,766 → 49,883 → 149,650 → 74,825 → 224,476 → 112,238 → 56,119 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage13,302,000%
133,020% as a decimal1,330.2
133,020% of 100133,020
133,020% of 1,0001,330,200
As a fraction of 100133,020/100

Read another way

As seconds1 day, 12 hours and 57 minutes
As bytes129.902 KiB
As a 24-bit colour#02079C

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Neighbouring numbers

Nearby primes

Also reads as

#133020 (colour)

  • #133020
  • Green
  • Dark
  • Nearest: Dark slate grey

#133020 is a green with RGB values 19, 48, 32 and HSL 147°, 43%, 13%. It is a dark colour, so white text on it reaches 14.3:1 contrast (AAA for normal text). The nearest named colour is Dark slate grey.

Open this reading on its own page →

Colour values

#133020#133020
HEX#133020
RGBrgb(19, 48, 32)
RGB (0–1)0.0745, 0.1882, 0.1255
RGB percentages7.5%, 18.8%, 12.5%
HSLhsl(146.9, 43.3%, 13.1%)
HSV / HSBhsv(146.9, 60.4%, 18.8%)
CMYK60.4%, 0%, 33.3%, 81.2%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,257,504
CSS custom property--colour: #133020;

Brightness & contrast

Relative luminance0.02357WCAG 2.x, 0 is black and 1 is white
Perceived brightness39.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 14.27:1
Contrast with white14.27:1WCAG normal text: AAA
Contrast with black1.47:1WCAG normal text: Fail
Greyscale equivalent#292929
Inverted#ECCFDF

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#302C1Fno red cones; affects about 1% of men; ΔE 15 from the original
Deuteranopia#2B2921no green cones; the most common form, about 1% of men; ΔE 14.8 from the original
Tritanopia#0B302Cno blue cones; rare, and affects men and women equally; ΔE 8.4 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text14.27:1WCAG large text: AAA
Contrast with black, large text1.47:1WCAG large text: Fail

Named colours

Dark slate grey · ΔE 18Black · ΔE 24.3Dim grey · ΔE 32.1Dark olivegreen · ΔE 34.5Teal · ΔE 37.1Gray · ΔE 40.1
Nearest named CSS colourDark slate grey (#2F4F4F)ΔE 18.04, a distinctly different colour
Hue familygreen
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#301323
Analogous#153013, #13302F
Triadic#201330, #302013
Split complementary#2F1330, #301315
Tetradic#131530, #301323, #302E13

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#54BB82
Lighter +30%#3E9E69
Lighter +20%#307951
Lighter +10%#215538
Darker −10%#050B08
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#0B381F
Less saturated −25%#1B2821

Channel breakdown

R19
G48
B32
Red19 (7.5%)
Green48 (18.8%)
Blue32 (12.5%)
Hue146.9°
Saturation (HSL)43.28%
Lightness13.14%
Dominant channelGreen
Hex per channelR 13 · G 30 · B 20

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Every value on this page was computed from “133020” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.