Recognised as Number
-8,040
- Negative
- Even
- 4 digits
-8,040 is an even 4-digit integer and the negative of 8,040. It has 32 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value8,040
Digit count4
Digit sum12
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^3 × 3 × 5 × 67
Distinct prime factors42, 3, 5, 67
Number of divisors32
Sum of divisors σ(n)24,480
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 67, 120, 134, 201, 268, 335, 402, 536, 670, 804, 1,005, 1,340, 1,608, 2,010, 2,680, 4,020, 8,04032 in total
Arithmetic
Previous number-8,041
Next number-8,039
Double-16,080
Half-4,020
Square64,641,600
Cube-519,718,464,000
Cube root-20.033277932≈
Negation8,040
Reciprocal-0.0001243781≈
Representations
Decimal-8,040
Binary111110110100013 bits
Octal17550
Hexadecimal1F68
Base 3667C
In wordsminus eight thousand and forty
Ordinalminus eight thousand and fortieth
Scientific notation-8.04 × 10^3
Engineering notation-8.04 × 10^3
In other bases
Ternary102000210base 3; the most digit-efficient integer base after e: 9 digits
Quinary224130base 5; one hand: 6 digits
Septenary32304base 7: 5 digits
Nonary12023base 9; each digit is two ternary digits: 5 digits
Duodecimal47a0base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal1020base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal2:14:0base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryTT100T1T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10000111101000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1110000010011000
Bit length13 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits5within that length
Bit parityeven8 set bits, so even; not the same as the number itself being even
Highest set bitbit 12worth 4,096
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes21f 68
Gray code1000011011100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1110000010011000two's complement
32-bit11111111111111111110000010011000two's complement
64-bit1111111111111111111111111111111111111111111111111110000010011000two's complement
One's complement0001111101100111at 16 bits, every bit flipped
Bits reversed0001100100000111at 16 bits
Rotated left by 11100000100110001at 16 bits, wrapping
Shifted left by 1-11111011010000= -16,080, no wrap
Shifted right by 1-111110110100= -4,020, discarding the low bit
These bits as a double3.97228779 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-8,040 to the power 264,641,600
-8,040 to the power 3-519,718,464,000
-8,040 to the power 44,178,536,450,560,000
-8,040 to the power 5-33,595,433,062,502,400,000
First ten multiples-8,040, -16,080, -24,120, -32,160, -40,200, -48,240, -56,280, -64,320, -72,360, -80,400
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 4
Divisible by 8Yes
Divisible by 9No, remainder 3
Divisible by 10Yes
Divisible by 11No, remainder 10
Divisible by 12Yes
Divisible by 100No, remainder 40
As a percentage & fraction
As a percentage-804,000%
-8,040% as a decimal-80.4
-8,040% of 100-8,040
-8,040% of 1,000-80,400
As a fraction of 100-8,040/100
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