Recognised as Number
-68
- Negative
- Even
- 2 digits
-68 is an even 2-digit integer and the negative of 68. It has 6 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value68
Digit count2
Digit sum14
Digit product48
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 17
Distinct prime factors22, 17
Number of divisors6
Sum of divisors σ(n)126
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 17, 34, 686 in total
Arithmetic
Representations
Decimal-68
Binary10001007 bits
Octal104
Hexadecimal44
Base 361W
In wordsminus sixty-eight
Ordinalminus sixty-eighth
Scientific notation-6.8 × 10^1
Engineering notation-68
In other bases
Ternary2112base 3; the most digit-efficient integer base after e: 4 digits
Quinary233base 5; one hand: 3 digits
Septenary125base 7: 3 digits
Nonary75base 9; each digit is two ternary digits: 2 digits
Duodecimal58base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 2 digits
Vigesimal38base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal1:8base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT0111digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11001100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
10111100
Bit length7 bitsto write the magnitude
Set bits2the population count, or Hamming weight
Zero bits5within that length
Bit parityeven2 set bits, so even; not the same as the number itself being even
Highest set bitbit 6worth 64
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes144
Gray code1100110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
8-bit10111100two's complement
16-bit1111111110111100two's complement
32-bit11111111111111111111111110111100two's complement
64-bit1111111111111111111111111111111111111111111111111111111110111100two's complement
One's complement01000011at 8 bits, every bit flipped
Bits reversed00111101at 8 bits
Rotated left by 101111001at 8 bits, wrapping
Shifted left by 1-10001000= -136, no wrap
Shifted right by 1-100010= -34, discarding the low bit
These bits as a double3.35964639 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-68 to the power 24,624
-68 to the power 3-314,432
-68 to the power 421,381,376
-68 to the power 5-1,453,933,568
First ten multiples-68, -136, -204, -272, -340, -408, -476, -544, -612, -680
Powers of twoBetween 2^6 (64) and 2^7 (128)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6No, remainder 2
Divisible by 7No, remainder 5
Divisible by 8No, remainder 4
Divisible by 9No, remainder 5
Divisible by 10No, remainder 8
Divisible by 11No, remainder 2
Divisible by 12No, remainder 8
Divisible by 100No, remainder 68
As a percentage & fraction
As a percentage-6,800%
-68% as a decimal-0.68
-68% of 100-68
-68% of 1,000-680
As a fraction of 100-68/100
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