Recognised as Number
112,090
- Positive
- Even
- Composite
- 6 digits
112,090 is an even 6-digit integer and a composite number. It has 16 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value112,090
Digit count6
Digit sum13
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2 × 5 × 11 × 1,019
Distinct prime factors42, 5, 11, 1,019
Number of divisors16
Sum of divisors σ(n)220,320
Aliquot sum108,230sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)40,720integers below n that share no factor with it
Carmichael function λ(n)10,180the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 40,720
Möbius function μ(n)+14 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 2, 5, 10, 11, 22, 55, 110, 1,019, 2,038, 5,095, 10,190, 11,209, 22,418, 56,045, 112,09016 in total
Arithmetic
Representations
Decimal112,090
Binary1101101011101101017 bits
Octal332732
Hexadecimal1B5DA
Base 362EHM
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred and twelve thousand and ninety
Ordinalone hundred and twelve thousand and ninetieth
Scientific notation1.1209 × 10^5
Engineering notation112.09 × 10^3
In other bases
Ternary12200202111base 3; the most digit-efficient integer base after e: 11 digits
Quinary12041330base 5; one hand: 8 digits
Septenary644536base 7: 6 digits
Nonary180674base 9; each digit is two ternary digits: 6 digits
Duodecimal54a4abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimale04abase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal31:8:10base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T0T01T1T111digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101100101000101110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000000011011010111011010
Bit length17 bitsto write the magnitude
Set bits11the population count, or Hamming weight
Zero bits6within that length
Bit parityodd11 set bits, so odd; not the same as the number itself being even
Highest set bitbit 16worth 65,536
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes301 b5 da
Gray code10110111100110111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000000011011010111011010
64-bit0000000000000000000000000000000000000000000000011011010111011010
One's complement11111111111111100100101000100101at 32 bits, every bit flipped
Bits reversed01011011101011011000000000000000at 32 bits
Rotated left by 100000000000000110110101110110100at 32 bits, wrapping
Shifted left by 1110110101110110100= 224,180, no wrap
Shifted right by 11101101011101101= 56,045, discarding the low bit
These bits as a double5.53798182 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
112,090 to the power 212,564,168,100
112,090 to the power 31,408,317,602,329,000
112,090 to the power 4157,858,320,045,057,610,000
112,090 to the power 517,694,339,093,850,507,504,900,000
First ten multiples112,090, 224,180, 336,270, 448,360, 560,450, 672,540, 784,630, 896,720, 1,008,810, 1,120,900
Powers of twoBetween 2^16 (65,536) and 2^17 (131,072)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4No, remainder 2
Divisible by 5Yes
Divisible by 6No, remainder 4
Divisible by 7No, remainder 6
Divisible by 8No, remainder 2
Divisible by 9No, remainder 4
Divisible by 10Yes
Divisible by 11Yes
Divisible by 12No, remainder 10
Divisible by 100No, remainder 90
Collatz (3n + 1) trajectory
Steps to reach 1154the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps112,090 → 56,045 → 168,136 → 84,068 → 42,034 → 21,017 → 63,052 → 31,526 → 15,763 → 47,290 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage11,209,000%
112,090% as a decimal1,120.9
112,090% of 100112,090
112,090% of 1,0001,120,900
As a fraction of 100112,090/100
Read another way
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Derived from 112,090
Also reads as
#112090 (colour)
- #112090
- Blue
- Dark
- Nearest: Navy
#112090 is a blue with RGB values 17, 32, 144 and HSL 233°, 79%, 32%. It is a dark colour, so white text on it reaches 12.9:1 contrast (AAA for normal text). The nearest named colour is Navy.
Colour values
#112090#112090
HEX#112090
RGBrgb(17, 32, 144)
RGB (0–1)0.0667, 0.1255, 0.5647
RGB percentages6.7%, 12.5%, 56.5%
HSLhsl(232.9, 78.9%, 31.6%)
HSV / HSBhsv(232.9, 88.2%, 56.5%)
CMYK88.2%, 77.8%, 0%, 43.5%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,122,448
CSS custom property--colour: #112090;
Brightness & contrast
Relative luminance0.03166WCAG 2.x, 0 is black and 1 is white
Perceived brightness55.2 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 12.86:1
Contrast with white12.86:1WCAG normal text: AAA
Contrast with black1.63:1WCAG normal text: Fail
Greyscale equivalent#252525
Inverted#EEDF6F
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text12.86:1WCAG large text: AAA
Contrast with black, large text1.63:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#908111
Analogous#115F90, #421190
Triadic#901120, #209011
Split complementary#904211, #5F9011
Tetradic#90115F, #908111, #119042
Tints, shades & saturation
Channel breakdown
R17
G32
B144
Red17 (6.7%)
Green32 (12.5%)
Blue144 (56.5%)
Hue232.91°
Saturation (HSL)78.88%
Lightness31.57%
Dominant channelBlue
Hex per channelR 11 · G 20 · B 90
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