Recognised as Number
-940
- Negative
- Even
- 3 digits
-940 is an even 3-digit integer and the negative of 940. It has 12 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value940
Digit count3
Digit sum13
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 5 × 47
Distinct prime factors32, 5, 47
Number of divisors12
Sum of divisors σ(n)2,016
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 94012 in total
Arithmetic
Representations
Decimal-940
Binary111010110010 bits
Octal1654
Hexadecimal3AC
Base 36Q4
In wordsminus nine hundred and forty
Ordinalminus nine hundred and fortieth
Scientific notation-9.4 × 10^2
Engineering notation-940
In other bases
Ternary1021211base 3; the most digit-efficient integer base after e: 7 digits
Quinary12230base 5; one hand: 5 digits
Septenary2512base 7: 4 digits
Nonary1254base 9; each digit is two ternary digits: 4 digits
Duodecimal664base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal270base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal15:40base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT011TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110001010100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110001010100
Bit length10 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits4within that length
Bit parityeven6 set bits, so even; not the same as the number itself being even
Highest set bitbit 9worth 512
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes203 ac
Gray code1001111010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110001010100two's complement
32-bit11111111111111111111110001010100two's complement
64-bit1111111111111111111111111111111111111111111111111111110001010100two's complement
One's complement0000001110101011at 16 bits, every bit flipped
Bits reversed0010101000111111at 16 bits
Rotated left by 11111100010101001at 16 bits, wrapping
Shifted left by 1-11101011000= -1,880, no wrap
Shifted right by 1-111010110= -470, discarding the low bit
These bits as a double4.64421707 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-940 to the power 2883,600
-940 to the power 3-830,584,000
-940 to the power 4780,748,960,000
-940 to the power 5-733,904,022,400,000
First ten multiples-940, -1,880, -2,820, -3,760, -4,700, -5,640, -6,580, -7,520, -8,460, -9,400
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 4
Divisible by 7No, remainder 2
Divisible by 8No, remainder 4
Divisible by 9No, remainder 4
Divisible by 10Yes
Divisible by 11No, remainder 5
Divisible by 12No, remainder 4
Divisible by 100No, remainder 40
As a percentage & fraction
As a percentage-94,000%
-940% as a decimal-9.4
-940% of 100-940
-940% of 1,000-9,400
As a fraction of 100-940/100
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