Recognised as Number
-1,164
- Negative
- Even
- 4 digits
-1,164 is an even 4-digit integer and the negative of 1,164. It has 12 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value1,164
Digit count4
Digit sum12
Digit product24
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 3 × 97
Distinct prime factors32, 3, 97
Number of divisors12
Sum of divisors σ(n)2,744
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1,16412 in total
Arithmetic
Representations
Decimal-1,164
Binary1001000110011 bits
Octal2214
Hexadecimal48C
Base 36WC
In wordsminus one thousand, one hundred and sixty-four
Ordinalminus one thousand, one hundred and sixty-fourth
Scientific notation-1.164 × 10^3
Engineering notation-1.164 × 10^3
In other bases
Ternary1121010base 3; the most digit-efficient integer base after e: 7 digits
Quinary14124base 5; one hand: 5 digits
Septenary3252base 7: 4 digits
Nonary1533base 9; each digit is two ternary digits: 4 digits
Duodecimal810base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2i4base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal19:24base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT111T0T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110010110100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111101101110100
Bit length11 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits7within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 10worth 1,024
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes204 8c
Gray code11011001010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111101101110100two's complement
32-bit11111111111111111111101101110100two's complement
64-bit1111111111111111111111111111111111111111111111111111101101110100two's complement
One's complement0000010010001011at 16 bits, every bit flipped
Bits reversed0010111011011111at 16 bits
Rotated left by 11111011011101001at 16 bits, wrapping
Shifted left by 1-100100011000= -2,328, no wrap
Shifted right by 1-1001000110= -582, discarding the low bit
These bits as a double5.75092412 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,164 to the power 21,354,896
-1,164 to the power 3-1,577,098,944
-1,164 to the power 41,835,743,170,816
-1,164 to the power 5-2,136,805,050,829,824
First ten multiples-1,164, -2,328, -3,492, -4,656, -5,820, -6,984, -8,148, -9,312, -10,476, -11,640
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 4
Divisible by 6Yes
Divisible by 7No, remainder 2
Divisible by 8No, remainder 4
Divisible by 9No, remainder 3
Divisible by 10No, remainder 4
Divisible by 11No, remainder 9
Divisible by 12Yes
Divisible by 100No, remainder 64
As a percentage & fraction
As a percentage-116,400%
-1,164% as a decimal-11.64
-1,164% of 100-1,164
-1,164% of 1,000-11,640
As a fraction of 100-1,164/100
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