Recognised as Number
-321,120
- Negative
- Even
- 6 digits
-321,120 is an even 6-digit integer and the negative of 321,120. It has 72 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value321,120
Digit count6
Digit sum9
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^5 × 3^2 × 5 × 223
Distinct prime factors42, 3, 5, 223
Number of divisors72
Sum of divisors σ(n)1,100,736
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 223, 240, 288, 360, 446, 480, 669, 720, 892, 1,115, 1,338, 1,440, 1,784, 2,007, 2,230, 2,676, 3,345, 3,568, 4,014, 4,460, 5,352, 6,690, 7,136, 8,028, 8,920, 10,035, 10,704, 13,380, 16,056, 17,840, 20,070, 21,408, 26,760, 32,112, 35,680, 40,140, 53,520, 64,224, 80,280, 107,040, 160,560, 321,12072 in total
Arithmetic
Representations
Decimal-321,120
Binary100111001100110000019 bits
Octal1163140
Hexadecimal4E660
Base 366VS0
In wordsminus three hundred and twenty-one thousand, one hundred and twenty
Ordinalminus three hundred and twenty-one thousand, one hundred and twentieth
Scientific notation-3.2112 × 10^5
Engineering notation-321.12 × 10^3
In other bases
Ternary121022111100base 3; the most digit-efficient integer base after e: 12 digits
Quinary40233440base 5; one hand: 8 digits
Septenary2505132base 7: 7 digits
Nonary538440base 9; each digit is two ternary digits: 6 digits
Duodecimal135a00base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal202g0base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal1:29:12:0base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternaryT11TT01TTTT00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11110110111011100000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111110110001100110100000
Bit length19 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits11within that length
Bit parityeven8 set bits, so even; not the same as the number itself being even
Highest set bitbit 18worth 262,144
Lowest set bitbit 55 trailing zeros
Power of twoNo
Bytes304 e6 60
Gray code1101001010101010000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111110110001100110100000two's complement
64-bit1111111111111111111111111111111111111111111110110001100110100000two's complement
One's complement00000000000001001110011001011111at 32 bits, every bit flipped
Bits reversed00000101100110001101111111111111at 32 bits
Rotated left by 111111111111101100011001101000001at 32 bits, wrapping
Shifted left by 1-10011100110011000000= -642,240, no wrap
Shifted right by 1-100111001100110000= -160,560, discarding the low bit
These bits as a double1.5865436 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-321,120 to the power 2103,118,054,400
-321,120 to the power 3-33,113,269,628,928,000
-321,120 to the power 410,633,333,143,241,359,360,000
-321,120 to the power 5-3,414,575,938,957,665,317,683,200,000
First ten multiples-321,120, -642,240, -963,360, -1,284,480, -1,605,600, -1,926,720, -2,247,840, -2,568,960, -2,890,080, -3,211,200
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 2
Divisible by 8Yes
Divisible by 9Yes
Divisible by 10Yes
Divisible by 11No, remainder 8
Divisible by 12Yes
Divisible by 100No, remainder 20
As a percentage & fraction
As a percentage-32,112,000%
-321,120% as a decimal-3,211.2
-321,120% of 100-321,120
-321,120% of 1,000-3,211,200
As a fraction of 100-321,120/100
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