Recognised as Number
-132,132
- Negative
- Even
- 6 digits
-132,132 is an even 6-digit integer and the negative of 132,132. It has 72 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value132,132
Digit count6
Digit sum12
Digit product36
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 3 × 7 × 11^2 × 13
Distinct prime factors52, 3, 7, 11, 13
Number of divisors72
Sum of divisors σ(n)417,088
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 7, 11, 12, 13, 14, 21, 22, 26, 28, 33, 39, 42, 44, 52, 66, 77, 78, 84, 91, 121, 132, 143, 154, 156, 182, 231, 242, 273, 286, 308, 363, 364, 429, 462, 484, 546, 572, 726, 847, 858, 924, 1,001, 1,092, 1,452, 1,573, 1,694, 1,716, 2,002, 2,541, 3,003, 3,146, 3,388, 4,004, 4,719, 5,082, 6,006, 6,292, 9,438, 10,164, 11,011, 12,012, 18,876, 22,022, 33,033, 44,044, 66,066, 132,13272 in total
Arithmetic
Representations
Decimal-132,132
Binary10000001000010010018 bits
Octal402044
Hexadecimal20424
Base 362TYC
In wordsminus one hundred and thirty-two thousand, one hundred and thirty-two
Ordinalminus one hundred and thirty-two thousand, one hundred and thirty-second
Scientific notation-1.32132 × 10^5
Engineering notation-132.132 × 10^3
In other bases
Ternary20201020210base 3; the most digit-efficient integer base after e: 11 digits
Quinary13212012base 5; one hand: 8 digits
Septenary1060140base 7: 7 digits
Nonary221223base 9; each digit is two ternary digits: 6 digits
Duodecimal64570base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimalga6cbase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal36:42:12base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT1T10TT1T1T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary100000110000101100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111111011111101111011100
Bit length18 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits14within that length
Bit parityeven4 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 04 24
Gray code110000011000110110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111111011111101111011100two's complement
64-bit1111111111111111111111111111111111111111111111011111101111011100two's complement
One's complement00000000000000100000010000100011at 32 bits, every bit flipped
Bits reversed00111011110111111011111111111111at 32 bits
Rotated left by 111111111111110111111011110111001at 32 bits, wrapping
Shifted left by 1-1000000100001001000= -264,264, no wrap
Shifted right by 1-10000001000010010= -66,066, discarding the low bit
These bits as a double6.52818819 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-132,132 to the power 217,458,865,424
-132,132 to the power 3-2,306,874,806,203,968
-132,132 to the power 4304,811,981,893,342,699,776
-132,132 to the power 5-40,275,416,791,531,157,606,802,432
First ten multiples-132,132, -264,264, -396,396, -528,528, -660,660, -792,792, -924,924, -1,057,056, -1,189,188, -1,321,320
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 5No, remainder 2
Divisible by 6Yes
Divisible by 7Yes
Divisible by 8No, remainder 4
Divisible by 9No, remainder 3
Divisible by 10No, remainder 2
Divisible by 11Yes
Divisible by 12Yes
Divisible by 100No, remainder 32
As a percentage & fraction
As a percentage-13,213,200%
-132,132% as a decimal-1,321.32
-132,132% of 100-132,132
-132,132% of 1,000-1,321,320
As a fraction of 100-132,132/100
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