Recognised as Number
-1,138
- Negative
- Even
- 4 digits
-1,138 is an even 4-digit integer and the negative of 1,138. It has 4 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value1,138
Digit count4
Digit sum13
Digit product24
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 569
Distinct prime factors22, 569
Number of divisors4
Sum of divisors σ(n)1,710
SquarefreeYesno repeated prime factor
All divisors1, 2, 569, 1,1384 in total
Arithmetic
Representations
Decimal-1,138
Binary1000111001011 bits
Octal2162
Hexadecimal472
Base 36VM
In wordsminus one thousand, one hundred and thirty-eight
Ordinalminus one thousand, one hundred and thirty-eighth
Scientific notation-1.138 × 10^3
Engineering notation-1.138 × 10^3
In other bases
Ternary1120011base 3; the most digit-efficient integer base after e: 7 digits
Quinary14023base 5; one hand: 5 digits
Septenary3214base 7: 4 digits
Nonary1504base 9; each digit is two ternary digits: 4 digits
Duodecimal7aabase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2gibase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal18:58base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT11100TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110010010010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111101110001110
Bit length11 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits6within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 10worth 1,024
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes204 72
Gray code11001001011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111101110001110two's complement
32-bit11111111111111111111101110001110two's complement
64-bit1111111111111111111111111111111111111111111111111111101110001110two's complement
One's complement0000010001110001at 16 bits, every bit flipped
Bits reversed0111000111011111at 16 bits
Rotated left by 11111011100011101at 16 bits, wrapping
Shifted left by 1-100011100100= -2,276, no wrap
Shifted right by 1-1000111001= -569, discarding the low bit
These bits as a double5.62246705 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,138 to the power 21,295,044
-1,138 to the power 3-1,473,760,072
-1,138 to the power 41,677,138,961,936
-1,138 to the power 5-1,908,584,138,683,168
First ten multiples-1,138, -2,276, -3,414, -4,552, -5,690, -6,828, -7,966, -9,104, -10,242, -11,380
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4No, remainder 2
Divisible by 5No, remainder 3
Divisible by 6No, remainder 4
Divisible by 7No, remainder 4
Divisible by 8No, remainder 2
Divisible by 9No, remainder 4
Divisible by 10No, remainder 8
Divisible by 11No, remainder 5
Divisible by 12No, remainder 10
Divisible by 100No, remainder 38
As a percentage & fraction
As a percentage-113,800%
-1,138% as a decimal-11.38
-1,138% of 100-1,138
-1,138% of 1,000-11,380
As a fraction of 100-1,138/100
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