Recognised as Number
-13,572
- Negative
- Even
- 5 digits
-13,572 is an even 5-digit integer and the negative of 13,572. It has 36 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value13,572
Digit count5
Digit sum18
Digit product210
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 3^2 × 13 × 29
Distinct prime factors42, 3, 13, 29
Number of divisors36
Sum of divisors σ(n)38,220
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 29, 36, 39, 52, 58, 78, 87, 116, 117, 156, 174, 234, 261, 348, 377, 468, 522, 754, 1,044, 1,131, 1,508, 2,262, 3,393, 4,524, 6,786, 13,57236 in total
Arithmetic
Representations
Decimal-13,572
Binary1101010000010014 bits
Octal32404
Hexadecimal3504
Base 36AH0
In wordsminus thirteen thousand, five hundred and seventy-two
Ordinalminus thirteen thousand, five hundred and seventy-second
Scientific notation-1.3572 × 10^4
Engineering notation-13.572 × 10^3
In other bases
Ternary200121200base 3; the most digit-efficient integer base after e: 9 digits
Quinary413242base 5; one hand: 6 digits
Septenary54366base 7: 5 digits
Nonary20550base 9; each digit is two ternary digits: 5 digits
Duodecimal7a30base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal1dicbase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal3:46:12base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT10T101100digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101111100001100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1100101011111100
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 22 trailing zeros
Power of twoNo
Bytes235 04
Gray code10111110000110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1100101011111100two's complement
32-bit11111111111111111100101011111100two's complement
64-bit1111111111111111111111111111111111111111111111111100101011111100two's complement
One's complement0011010100000011at 16 bits, every bit flipped
Bits reversed0011111101010011at 16 bits
Rotated left by 11001010111111001at 16 bits, wrapping
Shifted left by 1-110101000001000= -27,144, no wrap
Shifted right by 1-1101010000010= -6,786, discarding the low bit
These bits as a double6.70545895 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-13,572 to the power 2184,199,184
-13,572 to the power 3-2,499,951,325,248
-13,572 to the power 433,929,339,386,265,856
-13,572 to the power 5-460,488,994,150,400,197,632
First ten multiples-13,572, -27,144, -40,716, -54,288, -67,860, -81,432, -95,004, -108,576, -122,148, -135,720
Powers of twoBetween 2^13 (8,192) and 2^14 (16,384)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 2
Divisible by 6Yes
Divisible by 7No, remainder 6
Divisible by 8No, remainder 4
Divisible by 9Yes
Divisible by 10No, remainder 2
Divisible by 11No, remainder 9
Divisible by 12Yes
Divisible by 100No, remainder 72
As a percentage & fraction
As a percentage-1,357,200%
-13,572% as a decimal-135.72
-13,572% of 100-13,572
-13,572% of 1,000-135,720
As a fraction of 100-13,572/100
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