Recognised as Number
-267
- Negative
- Odd
- 3 digits
-267 is an odd 3-digit integer and the negative of 267. It has 4 divisors and a digital root of 6.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value267
Digit count3
Digit sum15
Digit product84
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 3 × 89
Distinct prime factors23, 89
Number of divisors4
Sum of divisors σ(n)360
SquarefreeYesno repeated prime factor
All divisors1, 3, 89, 2674 in total
Arithmetic
Representations
Decimal-267
Binary1000010119 bits
Octal413
Hexadecimal10B
Base 367F
In wordsminus two hundred and sixty-seven
Ordinalminus two hundred and sixty-seventh
Scientific notation-2.67 × 10^2
Engineering notation-267
In other bases
Ternary100220base 3; the most digit-efficient integer base after e: 6 digits
Quinary2032base 5; one hand: 4 digits
Septenary531base 7: 3 digits
Nonary326base 9; each digit is two ternary digits: 3 digits
Duodecimal1a3base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimald7base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal4:27base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT0T010digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100110101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111011110101
Bit length9 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits5within that length
Bit parityeven4 set bits, so even; not the same as the number itself being odd
Highest set bitbit 8worth 256
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes201 0b
Gray code110001110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111011110101two's complement
32-bit11111111111111111111111011110101two's complement
64-bit1111111111111111111111111111111111111111111111111111111011110101two's complement
One's complement0000000100001010at 16 bits, every bit flipped
Bits reversed1010111101111111at 16 bits
Rotated left by 11111110111101011at 16 bits, wrapping
Shifted left by 1-1000010110= -534, no wrap
Shifted right by 1-10000110= -133, discarding the low bit
These bits as a double1.31915527 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-267 to the power 271,289
-267 to the power 3-19,034,163
-267 to the power 45,082,121,521
-267 to the power 5-1,356,926,446,107
First ten multiples-267, -534, -801, -1,068, -1,335, -1,602, -1,869, -2,136, -2,403, -2,670
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 3
Divisible by 5No, remainder 2
Divisible by 6No, remainder 3
Divisible by 7No, remainder 1
Divisible by 8No, remainder 3
Divisible by 9No, remainder 6
Divisible by 10No, remainder 7
Divisible by 11No, remainder 3
Divisible by 12No, remainder 3
Divisible by 100No, remainder 67
As a percentage & fraction
As a percentage-26,700%
-267% as a decimal-2.67
-267% of 100-267
-267% of 1,000-2,670
As a fraction of 100-267/100
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