Recognised as Number
-980
- Negative
- Even
- 3 digits
-980 is an even 3-digit integer and the negative of 980. It has 18 divisors and a digital root of 8.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value980
Digit count3
Digit sum17
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 5 × 7^2
Distinct prime factors32, 5, 7
Number of divisors18
Sum of divisors σ(n)2,394
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 98018 in total
Arithmetic
Representations
Decimal-980
Binary111101010010 bits
Octal1724
Hexadecimal3D4
Base 36R8
In wordsminus nine hundred and eighty
Ordinalminus nine hundred and eightieth
Scientific notation-9.8 × 10^2
Engineering notation-980
In other bases
Ternary1100022base 3; the most digit-efficient integer base after e: 7 digits
Quinary12410base 5; one hand: 5 digits
Septenary2600base 7: 4 digits
Nonary1308base 9; each digit is two ternary digits: 4 digits
Duodecimal698base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal290base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal16:20base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT00T01digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110001111100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110000101100
Bit length10 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits4within that length
Bit parityeven6 set bits, so even; not the same as the number itself being even
Highest set bitbit 9worth 512
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes203 d4
Gray code1000111110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110000101100two's complement
32-bit11111111111111111111110000101100two's complement
64-bit1111111111111111111111111111111111111111111111111111110000101100two's complement
One's complement0000001111010011at 16 bits, every bit flipped
Bits reversed0011010000111111at 16 bits
Rotated left by 11111100001011001at 16 bits, wrapping
Shifted left by 1-11110101000= -1,960, no wrap
Shifted right by 1-111101010= -490, discarding the low bit
These bits as a double4.84184333 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-980 to the power 2960,400
-980 to the power 3-941,192,000
-980 to the power 4922,368,160,000
-980 to the power 5-903,920,796,800,000
First ten multiples-980, -1,960, -2,940, -3,920, -4,900, -5,880, -6,860, -7,840, -8,820, -9,800
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 2
Divisible by 7Yes
Divisible by 8No, remainder 4
Divisible by 9No, remainder 8
Divisible by 10Yes
Divisible by 11No, remainder 1
Divisible by 12No, remainder 8
Divisible by 100No, remainder 80
As a percentage & fraction
As a percentage-98,000%
-980% as a decimal-9.8
-980% of 100-980
-980% of 1,000-9,800
As a fraction of 100-980/100
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