Recognised as Number
-13,360
- Negative
- Even
- 5 digits
-13,360 is an even 5-digit integer and the negative of 13,360. It has 20 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value13,360
Digit count5
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 × 2^4 × 5 × 167
Distinct prime factors32, 5, 167
Number of divisors20
Sum of divisors σ(n)31,248
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 167, 334, 668, 835, 1,336, 1,670, 2,672, 3,340, 6,680, 13,36020 in total
Arithmetic
Representations
Decimal-13,360
Binary1101000011000014 bits
Octal32060
Hexadecimal3430
Base 36AB4
In wordsminus thirteen thousand, three hundred and sixty
Ordinalminus thirteen thousand, three hundred and sixtieth
Scientific notation-1.336 × 10^4
Engineering notation-13.36 × 10^3
In other bases
Ternary200022211base 3; the most digit-efficient integer base after e: 9 digits
Quinary411420base 5; one hand: 6 digits
Septenary53644base 7: 5 digits
Nonary20284base 9; each digit is two ternary digits: 5 digits
Duodecimal7894base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal1d80base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal3:42:40base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT100T001TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101110011010000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1100101111010000
Bit length14 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits9within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 13worth 8,192
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes234 30
Gray code10111000101000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1100101111010000two's complement
32-bit11111111111111111100101111010000two's complement
64-bit1111111111111111111111111111111111111111111111111100101111010000two's complement
One's complement0011010000101111at 16 bits, every bit flipped
Bits reversed0000101111010011at 16 bits
Rotated left by 11001011110100001at 16 bits, wrapping
Shifted left by 1-110100001100000= -26,720, no wrap
Shifted right by 1-1101000011000= -6,680, discarding the low bit
These bits as a double6.60071703 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-13,360 to the power 2178,489,600
-13,360 to the power 3-2,384,621,056,000
-13,360 to the power 431,858,537,308,160,000
-13,360 to the power 5-425,630,058,437,017,600,000
First ten multiples-13,360, -26,720, -40,080, -53,440, -66,800, -80,160, -93,520, -106,880, -120,240, -133,600
Powers of twoBetween 2^13 (8,192) and 2^14 (16,384)
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 4
Divisible by 8Yes
Divisible by 9No, remainder 4
Divisible by 10Yes
Divisible by 11No, remainder 6
Divisible by 12No, remainder 4
Divisible by 100No, remainder 60
As a percentage & fraction
As a percentage-1,336,000%
-13,360% as a decimal-133.6
-13,360% of 100-13,360
-13,360% of 1,000-133,600
As a fraction of 100-13,360/100
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