Recognised as Number
-210
- Negative
- Even
- 3 digits
-210 is an even 3-digit integer and the negative of 210. It has 16 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value210
Digit count3
Digit sum3
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 × 5 × 7
Distinct prime factors42, 3, 5, 7
Number of divisors16
Sum of divisors σ(n)576
SquarefreeYesno repeated prime factor
All divisors1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 21016 in total
Arithmetic
Representations
Decimal-210
Binary110100108 bits
Octal322
HexadecimalD2
Base 365U
In wordsminus two hundred and ten
Ordinalminus two hundred and tenth
Scientific notation-2.1 × 10^2
Engineering notation-210
In other bases
Ternary21210base 3; the most digit-efficient integer base after e: 5 digits
Quinary1320base 5; one hand: 4 digits
Septenary420base 7: 3 digits
Nonary253base 9; each digit is two ternary digits: 3 digits
Duodecimal156base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimalaabase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal3:30base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT011T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101110010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111100101110
Bit length8 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits4within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 7worth 128
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes1d2
Gray code10111011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111100101110two's complement
32-bit11111111111111111111111100101110two's complement
64-bit1111111111111111111111111111111111111111111111111111111100101110two's complement
One's complement0000000011010001at 16 bits, every bit flipped
Bits reversed0111010011111111at 16 bits
Rotated left by 11111111001011101at 16 bits, wrapping
Shifted left by 1-110100100= -420, no wrap
Shifted right by 1-1101001= -105, discarding the low bit
These bits as a double1.03753786 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-210 to the power 244,100
-210 to the power 3-9,261,000
-210 to the power 41,944,810,000
-210 to the power 5-408,410,100,000
First ten multiples-210, -420, -630, -840, -1,050, -1,260, -1,470, -1,680, -1,890, -2,100
Powers of twoBetween 2^7 (128) and 2^8 (256)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4No, remainder 2
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7Yes
Divisible by 8No, remainder 2
Divisible by 9No, remainder 3
Divisible by 10Yes
Divisible by 11No, remainder 1
Divisible by 12No, remainder 6
Divisible by 100No, remainder 10
As a percentage & fraction
As a percentage-21,000%
-210% as a decimal-2.1
-210% of 100-210
-210% of 1,000-2,100
As a fraction of 100-210/100
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