Recognised as Number
-27,142
- Negative
- Even
- 5 digits
-27,142 is an even 5-digit integer and the negative of 27,142. It has 8 divisors and a digital root of 7.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value27,142
Digit count5
Digit sum16
Digit product112
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 41 × 331
Distinct prime factors32, 41, 331
Number of divisors8
Sum of divisors σ(n)41,832
SquarefreeYesno repeated prime factor
All divisors1, 2, 41, 82, 331, 662, 13,571, 27,1428 in total
Arithmetic
Representations
Decimal-27,142
Binary11010100000011015 bits
Octal65006
Hexadecimal6A06
Base 36KXY
In wordsminus twenty-seven thousand, one hundred and forty-two
Ordinalminus twenty-seven thousand, one hundred and forty-second
Scientific notation-2.7142 × 10^4
Engineering notation-27.142 × 10^3
In other bases
Ternary1101020021base 3; the most digit-efficient integer base after e: 10 digits
Quinary1332032base 5; one hand: 7 digits
Septenary142063base 7: 6 digits
Nonary41207base 9; each digit is two ternary digits: 5 digits
Duodecimal1385abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimal37h2base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal7:32:22base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryTT0TT10T1Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1110101000001110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1001010111111010
Bit length15 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits9within that length
Bit parityeven6 set bits, so even; not the same as the number itself being even
Highest set bitbit 14worth 16,384
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes26a 06
Gray code101111100000101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1001010111111010two's complement
32-bit11111111111111111001010111111010two's complement
64-bit1111111111111111111111111111111111111111111111111001010111111010two's complement
One's complement0110101000000101at 16 bits, every bit flipped
Bits reversed0101111110101001at 16 bits
Rotated left by 10010101111110101at 16 bits, wrapping
Shifted left by 1-1101010000001100= -54,284, no wrap
Shifted right by 1-11010100000011= -13,571, discarding the low bit
These bits as a double1.34099298 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-27,142 to the power 2736,688,164
-27,142 to the power 3-19,995,190,147,288
-27,142 to the power 4542,709,450,977,690,896
-27,142 to the power 5-14,730,219,918,436,486,299,232
First ten multiples-27,142, -54,284, -81,426, -108,568, -135,710, -162,852, -189,994, -217,136, -244,278, -271,420
Powers of twoBetween 2^14 (16,384) and 2^15 (32,768)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4No, remainder 2
Divisible by 5No, remainder 2
Divisible by 6No, remainder 4
Divisible by 7No, remainder 3
Divisible by 8No, remainder 6
Divisible by 9No, remainder 7
Divisible by 10No, remainder 2
Divisible by 11No, remainder 5
Divisible by 12No, remainder 10
Divisible by 100No, remainder 42
As a percentage & fraction
As a percentage-2,714,200%
-27,142% as a decimal-271.42
-27,142% of 100-27,142
-27,142% of 1,000-271,420
As a fraction of 100-27,142/100
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from -27,142
Nerdulate something else
Nothing in mind? Surprise me · today’s page