Recognised as Number
-1,360
- Negative
- Even
- 4 digits
-1,360 is an even 4-digit integer and the negative of 1,360. It has 20 divisors and a digital root of 1.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value1,360
Digit count4
Digit sum10
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^4 × 5 × 17
Distinct prime factors32, 5, 17
Number of divisors20
Sum of divisors σ(n)3,348
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1,36020 in total
Arithmetic
Representations
Decimal-1,360
Binary1010101000011 bits
Octal2520
Hexadecimal550
Base 3611S
In wordsminus one thousand, three hundred and sixty
Ordinalminus one thousand, three hundred and sixtieth
Scientific notation-1.36 × 10^3
Engineering notation-1.36 × 10^3
In other bases
Ternary1212101base 3; the most digit-efficient integer base after e: 7 digits
Quinary20420base 5; one hand: 5 digits
Septenary3652base 7: 4 digits
Nonary1771base 9; each digit is two ternary digits: 4 digits
Duodecimal954base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal380base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal22:40base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT1011T0Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111111110000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111101010110000
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 44 trailing zeros
Power of twoNo
Bytes205 50
Gray code11111111000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111101010110000two's complement
32-bit11111111111111111111101010110000two's complement
64-bit1111111111111111111111111111111111111111111111111111101010110000two's complement
One's complement0000010101001111at 16 bits, every bit flipped
Bits reversed0000110101011111at 16 bits
Rotated left by 11111010101100001at 16 bits, wrapping
Shifted left by 1-101010100000= -2,720, no wrap
Shifted right by 1-1010101000= -680, discarding the low bit
These bits as a double6.71929278 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,360 to the power 21,849,600
-1,360 to the power 3-2,515,456,000
-1,360 to the power 43,421,020,160,000
-1,360 to the power 5-4,652,587,417,600,000
First ten multiples-1,360, -2,720, -4,080, -5,440, -6,800, -8,160, -9,520, -10,880, -12,240, -13,600
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
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 8Yes
Divisible by 9No, remainder 1
Divisible by 10Yes
Divisible by 11No, remainder 7
Divisible by 12No, remainder 4
Divisible by 100No, remainder 60
As a percentage & fraction
As a percentage-136,000%
-1,360% as a decimal-13.6
-1,360% of 100-1,360
-1,360% of 1,000-13,600
As a fraction of 100-1,360/100
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