Recognised as Number
-1,513
- Negative
- Odd
- 4 digits
-1,513 is an odd 4-digit integer and the negative of 1,513. It has 4 divisors and a digital root of 1.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value1,513
Digit count4
Digit sum10
Digit product15
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 × 17 × 89
Distinct prime factors217, 89
Number of divisors4
Sum of divisors σ(n)1,620
SquarefreeYesno repeated prime factor
All divisors1, 17, 89, 1,5134 in total
Arithmetic
Representations
Decimal-1,513
Binary1011110100111 bits
Octal2751
Hexadecimal5E9
Base 36161
In wordsminus one thousand, five hundred and thirteen
Ordinalminus one thousand, five hundred and thirteenth
Scientific notation-1.513 × 10^3
Engineering notation-1.513 × 10^3
In other bases
Ternary2002001base 3; the most digit-efficient integer base after e: 7 digits
Quinary22023base 5; one hand: 5 digits
Septenary4261base 7: 4 digits
Nonary2061base 9; each digit is two ternary digits: 4 digits
Duodecimala61base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal3fdbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal25:13base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT10T100Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111001101011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111101000010111
Bit length11 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits4within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 10worth 1,024
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes205 e9
Gray code11100011101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111101000010111two's complement
32-bit11111111111111111111101000010111two's complement
64-bit1111111111111111111111111111111111111111111111111111101000010111two's complement
One's complement0000010111101000at 16 bits, every bit flipped
Bits reversed1110100001011111at 16 bits
Rotated left by 11111010000101111at 16 bits, wrapping
Shifted left by 1-101111010010= -3,026, no wrap
Shifted right by 1-1011110101= -756, discarding the low bit
These bits as a double7.47521322 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,513 to the power 22,289,169
-1,513 to the power 3-3,463,512,697
-1,513 to the power 45,240,294,710,561
-1,513 to the power 5-7,928,565,897,078,793
First ten multiples-1,513, -3,026, -4,539, -6,052, -7,565, -9,078, -10,591, -12,104, -13,617, -15,130
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 1
Divisible by 7No, remainder 1
Divisible by 8No, remainder 1
Divisible by 9No, remainder 1
Divisible by 10No, remainder 3
Divisible by 11No, remainder 6
Divisible by 12No, remainder 1
Divisible by 100No, remainder 13
As a percentage & fraction
As a percentage-151,300%
-1,513% as a decimal-15.13
-1,513% of 100-1,513
-1,513% of 1,000-15,130
As a fraction of 100-1,513/100
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from -1,513
Nerdulate something else
Nothing in mind? Surprise me · today’s page