Recognised as Number
-1,066
- Negative
- Even
- 4 digits
-1,066 is an even 4-digit integer and the negative of 1,066. It has 8 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value1,066
Digit count4
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 × 13 × 41
Distinct prime factors32, 13, 41
Number of divisors8
Sum of divisors σ(n)1,764
SquarefreeYesno repeated prime factor
All divisors1, 2, 13, 26, 41, 82, 533, 1,0668 in total
Arithmetic
Representations
Decimal-1,066
Binary1000010101011 bits
Octal2052
Hexadecimal42A
Base 36TM
In wordsminus one thousand and sixty-six
Ordinalminus one thousand and sixty-sixth
Scientific notation-1.066 × 10^3
Engineering notation-1.066 × 10^3
In other bases
Ternary1110111base 3; the most digit-efficient integer base after e — 7 digits
Quinary13231base 5; one hand — 5 digits
Septenary3052base 7 — 4 digits
Nonary1414base 9; each digit is two ternary digits — 4 digits
Duodecimal74abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves — 3 digits
Vigesimal2d6base 20; hands and feet, and the Mayan and Yoruba systems — 3 digits
Sexagesimal17:46base 60; Babylonian, and still how an hour and a circle are divided — 2 digits
Balanced ternaryTTT0TTTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110000101010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111101111010110
Bit length11 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits7within that length
Bit parityeven4 set bits, so even; 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 2a
Gray code11000111111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111101111010110two's complement
32-bit11111111111111111111101111010110two's complement
64-bit1111111111111111111111111111111111111111111111111111101111010110two's complement
One's complement0000010000101001at 16 bits, every bit flipped
Bits reversed0110101111011111at 16 bits
Rotated left by 11111011110101101at 16 bits, wrapping
Shifted left by 1-100001010100= -2,132, no wrap
Shifted right by 1-1000010101= -533, discarding the low bit
These bits as a double5.26673978 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,066 to the power 21,136,356
-1,066 to the power 3-1,211,355,496
-1,066 to the power 41,291,304,958,736
-1,066 to the power 5-1,376,531,086,012,576
First ten multiples-1,066, -2,132, -3,198, -4,264, -5,330, -6,396, -7,462, -8,528, -9,594, -10,660
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 1
Divisible by 6No, remainder 4
Divisible by 7No, remainder 2
Divisible by 8No, remainder 2
Divisible by 9No, remainder 4
Divisible by 10No, remainder 6
Divisible by 11No, remainder 10
Divisible by 12No, remainder 10
Divisible by 100No, remainder 66
As a percentage & fraction
As a percentage-106,600%
-1,066% as a decimal-10.66
-1,066% of 100-1,066
-1,066% of 1,000-10,660
As a fraction of 100-1,066/100
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