Recognised as Number
-27,137
- Negative
- Odd
- 5 digits
-27,137 is an odd 5-digit integer and the negative of 27,137. It has 4 divisors and a digital root of 2.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value27,137
Digit count5
Digit sum20
Digit product294
Multiplicative persistence4times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 11 × 2,467
Distinct prime factors211, 2,467
Number of divisors4
Sum of divisors σ(n)29,616
SquarefreeYesno repeated prime factor
All divisors1, 11, 2,467, 27,1374 in total
Arithmetic
Representations
Decimal-27,137
Binary11010100000000115 bits
Octal65001
Hexadecimal6A01
Base 36KXT
In wordsminus twenty-seven thousand, one hundred and thirty-seven
Ordinalminus twenty-seven thousand, one hundred and thirty-seventh
Scientific notation-2.7137 × 10^4
Engineering notation-27.137 × 10^3
In other bases
Ternary1101020002base 3; the most digit-efficient integer base after e: 10 digits
Quinary1332022base 5; one hand: 7 digits
Septenary142055base 7: 6 digits
Nonary41202base 9; each digit is two ternary digits: 5 digits
Duodecimal13855base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimal37ghbase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal7:32:17base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryTT0TT100T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1110101000000011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1001010111111111
Bit length15 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits10within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 14worth 16,384
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes26a 01
Gray code101111100000001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1001010111111111two's complement
32-bit11111111111111111001010111111111two's complement
64-bit1111111111111111111111111111111111111111111111111001010111111111two's complement
One's complement0110101000000000at 16 bits, every bit flipped
Bits reversed1111111110101001at 16 bits
Rotated left by 10010101111111111at 16 bits, wrapping
Shifted left by 1-1101010000000010= -54,274, no wrap
Shifted right by 1-11010100000001= -13,568, discarding the low bit
These bits as a double1.34074594 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-27,137 to the power 2736,416,769
-27,137 to the power 3-19,984,141,860,353
-27,137 to the power 4542,309,657,664,399,361
-27,137 to the power 5-14,716,657,180,038,805,459,457
First ten multiples-27,137, -54,274, -81,411, -108,548, -135,685, -162,822, -189,959, -217,096, -244,233, -271,370
Powers of twoBetween 2^14 (16,384) and 2^15 (32,768)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 2
Divisible by 6No, remainder 5
Divisible by 7No, remainder 5
Divisible by 8No, remainder 1
Divisible by 9No, remainder 2
Divisible by 10No, remainder 7
Divisible by 11Yes
Divisible by 12No, remainder 5
Divisible by 100No, remainder 37
As a percentage & fraction
As a percentage-2,713,700%
-27,137% as a decimal-271.37
-27,137% of 100-27,137
-27,137% of 1,000-271,370
As a fraction of 100-27,137/100
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