Recognised as Number
-150
- Negative
- Even
- 3 digits
-150 is an even 3-digit integer and the negative of 150. It has 12 divisors and a digital root of 6.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value150
Digit count3
Digit sum6
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 3 × 5^2
Distinct prime factors32, 3, 5
Number of divisors12
Sum of divisors σ(n)372
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 15012 in total
Arithmetic
Representations
Decimal-150
Binary100101108 bits
Octal226
Hexadecimal96
Base 3646
In wordsminus one hundred and fifty
Ordinalminus one hundred and fiftieth
Scientific notation-1.5 × 10^2
Engineering notation-150
In other bases
Ternary12120base 3; the most digit-efficient integer base after e: 5 digits
Quinary1100base 5; one hand: 4 digits
Septenary303base 7: 3 digits
Nonary176base 9; each digit is two ternary digits: 3 digits
Duodecimal106base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal7abase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal2:30base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT10110digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10111110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111101101010
Bit length8 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits4within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 7worth 128
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes196
Gray code11011101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111101101010two's complement
32-bit11111111111111111111111101101010two's complement
64-bit1111111111111111111111111111111111111111111111111111111101101010two's complement
One's complement0000000010010101at 16 bits, every bit flipped
Bits reversed0101011011111111at 16 bits
Rotated left by 11111111011010101at 16 bits, wrapping
Shifted left by 1-100101100= -300, no wrap
Shifted right by 1-1001011= -75, discarding the low bit
These bits as a double7.41098469 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-150 to the power 222,500
-150 to the power 3-3,375,000
-150 to the power 4506,250,000
-150 to the power 5-75,937,500,000
First ten multiples-150, -300, -450, -600, -750, -900, -1,050, -1,200, -1,350, -1,500
Powers of twoBetween 2^7 (128) and 2^8 (256)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4No, remainder 2
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 3
Divisible by 8No, remainder 6
Divisible by 9No, remainder 6
Divisible by 10Yes
Divisible by 11No, remainder 7
Divisible by 12No, remainder 6
Divisible by 100No, remainder 50
As a percentage & fraction
As a percentage-15,000%
-150% as a decimal-1.5
-150% of 100-150
-150% of 1,000-1,500
As a fraction of 100-150/100
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