Recognised as Number
-514
- Negative
- Even
- 3 digits
-514 is an even 3-digit integer and the negative of 514. It has 4 divisors and a digital root of 1.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value514
Digit count3
Digit sum10
Digit product20
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 257
Distinct prime factors22, 257
Number of divisors4
Sum of divisors σ(n)774
SquarefreeYesno repeated prime factor
All divisors1, 2, 257, 5144 in total
Arithmetic
Representations
Decimal-514
Binary100000001010 bits
Octal1002
Hexadecimal202
Base 36EA
In wordsminus five hundred and fourteen
Ordinalminus five hundred and fourteenth
Scientific notation-5.14 × 10^2
Engineering notation-514
In other bases
Ternary201001base 3; the most digit-efficient integer base after e: 6 digits
Quinary4024base 5; one hand: 4 digits
Septenary1333base 7: 4 digits
Nonary631base 9; each digit is two ternary digits: 3 digits
Duodecimal36abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal15ebase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal8:34base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT10T00Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1000000010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110111111110
Bit length10 bitsto write the magnitude
Set bits2the population count, or Hamming weight
Zero bits8within that length
Bit parityeven2 set bits, so even; not the same as the number itself being even
Highest set bitbit 9worth 512
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes202 02
Gray code1100000011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110111111110two's complement
32-bit11111111111111111111110111111110two's complement
64-bit1111111111111111111111111111111111111111111111111111110111111110two's complement
One's complement0000001000000001at 16 bits, every bit flipped
Bits reversed0111111110111111at 16 bits
Rotated left by 11111101111111101at 16 bits, wrapping
Shifted left by 1-10000000100= -1,028, no wrap
Shifted right by 1-100000001= -257, discarding the low bit
These bits as a double2.53949742 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-514 to the power 2264,196
-514 to the power 3-135,796,744
-514 to the power 469,799,526,416
-514 to the power 5-35,876,956,577,824
First ten multiples-514, -1,028, -1,542, -2,056, -2,570, -3,084, -3,598, -4,112, -4,626, -5,140
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4No, remainder 2
Divisible by 5No, remainder 4
Divisible by 6No, remainder 4
Divisible by 7No, remainder 3
Divisible by 8No, remainder 2
Divisible by 9No, remainder 1
Divisible by 10No, remainder 4
Divisible by 11No, remainder 8
Divisible by 12No, remainder 10
Divisible by 100No, remainder 14
As a percentage & fraction
As a percentage-51,400%
-514% as a decimal-5.14
-514% of 100-514
-514% of 1,000-5,140
As a fraction of 100-514/100
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