Recognised as Number
-280
- Negative
- Even
- 3 digits
-280 is an even 3-digit integer and the negative of 280. It has 16 divisors and a digital root of 1.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value280
Digit count3
Digit sum10
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^3 × 5 × 7
Distinct prime factors32, 5, 7
Number of divisors16
Sum of divisors σ(n)720
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 28016 in total
Arithmetic
Representations
Decimal-280
Binary1000110009 bits
Octal430
Hexadecimal118
Base 367S
In wordsminus two hundred and eighty
Ordinalminus two hundred and eightieth
Scientific notation-2.8 × 10^2
Engineering notation-280
In other bases
Ternary101101base 3; the most digit-efficient integer base after e: 6 digits
Quinary2110base 5; one hand: 4 digits
Septenary550base 7: 3 digits
Nonary341base 9; each digit is two ternary digits: 3 digits
Duodecimal1b4base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimale0base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal4:40base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT0TT0Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100111000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111011101000
Bit length9 bitsto write the magnitude
Set bits3the population count, or Hamming weight
Zero bits6within that length
Bit parityodd3 set bits, so odd; not the same as the number itself being even
Highest set bitbit 8worth 256
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes201 18
Gray code110010100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111011101000two's complement
32-bit11111111111111111111111011101000two's complement
64-bit1111111111111111111111111111111111111111111111111111111011101000two's complement
One's complement0000000100010111at 16 bits, every bit flipped
Bits reversed0001011101111111at 16 bits
Rotated left by 11111110111010001at 16 bits, wrapping
Shifted left by 1-1000110000= -560, no wrap
Shifted right by 1-10001100= -140, discarding the low bit
These bits as a double1.38338381 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-280 to the power 278,400
-280 to the power 3-21,952,000
-280 to the power 46,146,560,000
-280 to the power 5-1,721,036,800,000
First ten multiples-280, -560, -840, -1,120, -1,400, -1,680, -1,960, -2,240, -2,520, -2,800
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 4
Divisible by 7Yes
Divisible by 8Yes
Divisible by 9No, remainder 1
Divisible by 10Yes
Divisible by 11No, remainder 5
Divisible by 12No, remainder 4
Divisible by 100No, remainder 80
As a percentage & fraction
As a percentage-28,000%
-280% as a decimal-2.8
-280% of 100-280
-280% of 1,000-2,800
As a fraction of 100-280/100
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