Recognised as Number
-1,168
- Negative
- Even
- 4 digits
-1,168 is an even 4-digit integer and the negative of 1,168. It has 10 divisors and a digital root of 7.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value1,168
Digit count4
Digit sum16
Digit product48
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^4 × 73
Distinct prime factors22, 73
Number of divisors10
Sum of divisors σ(n)2,294
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 16, 73, 146, 292, 584, 1,16810 in total
Arithmetic
Representations
Decimal-1,168
Binary1001001000011 bits
Octal2220
Hexadecimal490
Base 36WG
In wordsminus one thousand, one hundred and sixty-eight
Ordinalminus one thousand, one hundred and sixty-eighth
Scientific notation-1.168 × 10^3
Engineering notation-1.168 × 10^3
In other bases
Ternary1121021base 3; the most digit-efficient integer base after e: 7 digits
Quinary14133base 5; one hand: 5 digits
Septenary3256base 7: 4 digits
Nonary1537base 9; each digit is two ternary digits: 4 digits
Duodecimal814base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2i8base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal19:28base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT111TT1Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110010110000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111101101110000
Bit length11 bitsto write the magnitude
Set bits3the population count, or Hamming weight
Zero bits8within that length
Bit parityodd3 set bits, so odd; not the same as the number itself being even
Highest set bitbit 10worth 1,024
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes204 90
Gray code11011011000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111101101110000two's complement
32-bit11111111111111111111101101110000two's complement
64-bit1111111111111111111111111111111111111111111111111111101101110000two's complement
One's complement0000010010001111at 16 bits, every bit flipped
Bits reversed0000111011011111at 16 bits
Rotated left by 11111011011100001at 16 bits, wrapping
Shifted left by 1-100100100000= -2,336, no wrap
Shifted right by 1-1001001000= -584, discarding the low bit
These bits as a double5.77068674 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,168 to the power 21,364,224
-1,168 to the power 3-1,593,413,632
-1,168 to the power 41,861,107,122,176
-1,168 to the power 5-2,173,773,118,701,568
First ten multiples-1,168, -2,336, -3,504, -4,672, -5,840, -7,008, -8,176, -9,344, -10,512, -11,680
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6No, remainder 4
Divisible by 7No, remainder 6
Divisible by 8Yes
Divisible by 9No, remainder 7
Divisible by 10No, remainder 8
Divisible by 11No, remainder 2
Divisible by 12No, remainder 4
Divisible by 100No, remainder 68
As a percentage & fraction
As a percentage-116,800%
-1,168% as a decimal-11.68
-1,168% of 100-1,168
-1,168% of 1,000-11,680
As a fraction of 100-1,168/100
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