Recognised as Number
-131,072,000
- Negative
- Even
- 9 digits
-131,072,000 is an even 9-digit integer and the negative of 131,072,000. It has 84 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value131,072,000
Digit count9
Digit sum14
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^20 × 5^3
Distinct prime factors22, 5
Number of divisors84
Sum of divisors σ(n)327,155,556
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 256, 320, 400, 500, 512, 640, 800, 1,000, 1,024, 1,280, 1,600, 2,000, 2,048, 2,560, 3,200, 4,000, 4,096, 5,120, 6,400, 8,000, 8,192, 10,240, 12,800, 16,000, 16,384, 20,480, 25,600, 32,000, 32,768, 40,960, 51,200, 64,000, 65,536, 81,920, 102,400, 128,000, 131,072, 163,840, 204,800, 256,000, 262,144, 327,680, 409,600, 512,000, 524,288, 655,360, 819,200, 1,024,000, 1,048,576, 1,310,720, 1,638,400, 2,048,000, 2,621,440, 3,276,800, 4,096,000, 5,242,880, 6,553,600, 8,192,000, 13,107,200, 16,384,000, 26,214,400, 32,768,000, 65,536,000, 131,072,00084 in total
Arithmetic
Previous number-131,072,001
Next number-131,071,999
Double-262,144,000
Half-65,536,000
Square17,179,869,184,000,000
Cube-2,251,799,813,685,248,000,000,000
Cube root-507.96833663≈
Negation131,072,000
Reciprocal-7.62939453 × 10^-9≈
Representations
Decimal-131,072,000
Binary11111010000000000000000000027 bits
Octal764000000
Hexadecimal7D00000
Base 36261BSW
In wordsminus one hundred and thirty-one million, seventy-two thousand
Ordinalminus one hundred and thirty-one million, seventy-two thousandth
Scientific notation-1.31072 × 10^8
Engineering notation-131.072 × 10^6
In other bases
Ternary100010122010222112base 3; the most digit-efficient integer base after e: 18 digits
Quinary232023301000base 5; one hand: 12 digits
Septenary3151044053base 7: 10 digits
Nonary303563875base 9; each digit is two ternary digits: 9 digits
Duodecimal37a8ba28base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 8 digits
Vigesimal20j4000base 20; hands and feet, and the Mayan and Yoruba systems: 7 digits
Sexagesimal10:6:48:53:20base 60; Babylonian, and still how an hour and a circle are divided: 5 digits
Balanced ternaryT000TT1010TT000111digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1000011100000000000000000000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111000001100000000000000000000
Bit length27 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits21within that length
Bit parityeven6 set bits, so even; not the same as the number itself being even
Highest set bitbit 26worth 67,108,864
Lowest set bitbit 2020 trailing zeros
Power of twoNo
Bytes407 d0 00 00
Gray code100001110000000000000000000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111000001100000000000000000000two's complement
64-bit1111111111111111111111111111111111111000001100000000000000000000two's complement
One's complement00000111110011111111111111111111at 32 bits, every bit flipped
Bits reversed00000000000000000000110000011111at 32 bits
Rotated left by 111110000011000000000000000000001at 32 bits, wrapping
Shifted left by 1-1111101000000000000000000000= -262,144,000, no wrap
Shifted right by 1-11111010000000000000000000= -65,536,000, discarding the low bit
These bits as a double6.47581723 × 10^-316≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
-131,072,000 to the power 217,179,869,184,000,000
-131,072,000 to the power 3-2,251,799,813,685,248,000,000,000
-131,072,000 to the power 4295,147,905,179,352,825,856,000,000,000,000
-131,072,000 to the power 5-38685626227668133590597632000… (42 digits)
First ten multiples-131,072,000, -262,144,000, -393,216,000, -524,288,000, -655,360,000, -786,432,000, -917,504,000, -1,048,576,000, -1,179,648,000, -1,310,720,000
Powers of twoBetween 2^26 (67,108,864) and 2^27 (134,217,728)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 2
Divisible by 7No, remainder 3
Divisible by 8Yes
Divisible by 9No, remainder 5
Divisible by 10Yes
Divisible by 11No, remainder 4
Divisible by 12No, remainder 8
Divisible by 100Yes
As a percentage & fraction
As a percentage-13,107,200,000%
-131,072,000% as a decimal-1,310,720
-131,072,000% of 100-131,072,000
-131,072,000% of 1,000-1,310,720,000
As a fraction of 100-131,072,000/100
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