Recognised as Number
-32,764
- Negative
- Even
- 5 digits
-32,764 is an even 5-digit integer and the negative of 32,764. It has 6 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value32,764
Digit count5
Digit sum22
Digit product1,008
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 8,191
Distinct prime factors22, 8,191
Number of divisors6
Sum of divisors σ(n)57,344
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8,191, 16,382, 32,7646 in total
Arithmetic
Representations
Decimal-32,764
Binary11111111111110015 bits
Octal77774
Hexadecimal7FFC
Base 36PA4
In wordsminus thirty-two thousand, seven hundred and sixty-four
Ordinalminus thirty-two thousand, seven hundred and sixty-fourth
Scientific notation-3.2764 × 10^4
Engineering notation-32.764 × 10^3
In other bases
Ternary1122221111base 3; the most digit-efficient integer base after e: 10 digits
Quinary2022024base 5; one hand: 7 digits
Septenary164344base 7: 6 digits
Nonary48844base 9; each digit is two ternary digits: 5 digits
Duodecimal16b64base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimal41i4base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal9:6:4base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT110001TTTTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1000000000000100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1000000000000100
Bit length15 bitsto write the magnitude
Set bits13the population count, or Hamming weight
Zero bits2within that length
Bit parityodd13 set bits, so odd; not the same as the number itself being even
Highest set bitbit 14worth 16,384
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes27f fc
Gray code100000000000010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1000000000000100two's complement
32-bit11111111111111111000000000000100two's complement
64-bit1111111111111111111111111111111111111111111111111000000000000100two's complement
One's complement0111111111111011at 16 bits, every bit flipped
Bits reversed0010000000000001at 16 bits
Rotated left by 10000000000001001at 16 bits, wrapping
Shifted left by 1-1111111111111000= -65,528, no wrap
Shifted right by 1-11111111111110= -16,382, discarding the low bit
These bits as a double1.61875668 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-32,764 to the power 21,073,479,696
-32,764 to the power 3-35,171,488,759,744
-32,764 to the power 41,152,358,657,724,252,416
-32,764 to the power 5-37,755,879,061,677,406,157,824
First ten multiples-32,764, -65,528, -98,292, -131,056, -163,820, -196,584, -229,348, -262,112, -294,876, -327,640
Powers of twoBetween 2^14 (16,384) and 2^15 (32,768)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 4
Divisible by 6No, remainder 4
Divisible by 7No, remainder 4
Divisible by 8No, remainder 4
Divisible by 9No, remainder 4
Divisible by 10No, remainder 4
Divisible by 11No, remainder 6
Divisible by 12No, remainder 4
Divisible by 100No, remainder 64
As a percentage & fraction
As a percentage-3,276,400%
-32,764% as a decimal-327.64
-32,764% of 100-32,764
-32,764% of 1,000-327,640
As a fraction of 100-32,764/100
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