Recognised as Number
-390
- Negative
- Even
- 3 digits
-390 is an even 3-digit integer and the negative of 390. It has 16 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value390
Digit count3
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 × 5 × 13
Distinct prime factors42, 3, 5, 13
Number of divisors16
Sum of divisors σ(n)1,008
SquarefreeYesno repeated prime factor
All divisors1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 39016 in total
Arithmetic
Representations
Decimal-390
Binary1100001109 bits
Octal606
Hexadecimal186
Base 36AU
In wordsminus three hundred and ninety
Ordinalminus three hundred and ninetieth
Scientific notation-3.9 × 10^2
Engineering notation-390
In other bases
Ternary112110base 3; the most digit-efficient integer base after e: 6 digits
Quinary3030base 5; one hand: 4 digits
Septenary1065base 7: 4 digits
Nonary473base 9; each digit is two ternary digits: 3 digits
Duodecimal286base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimaljabase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal6:30base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT111TT0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1110001110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111001111010
Bit length9 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits5within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 8worth 256
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes201 86
Gray code101000101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111001111010two's complement
32-bit11111111111111111111111001111010two's complement
64-bit1111111111111111111111111111111111111111111111111111111001111010two's complement
One's complement0000000110000101at 16 bits, every bit flipped
Bits reversed0101111001111111at 16 bits
Rotated left by 11111110011110101at 16 bits, wrapping
Shifted left by 1-1100001100= -780, no wrap
Shifted right by 1-11000011= -195, discarding the low bit
These bits as a double1.92685602 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-390 to the power 2152,100
-390 to the power 3-59,319,000
-390 to the power 423,134,410,000
-390 to the power 5-9,022,419,900,000
First ten multiples-390, -780, -1,170, -1,560, -1,950, -2,340, -2,730, -3,120, -3,510, -3,900
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4No, remainder 2
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 5
Divisible by 8No, remainder 6
Divisible by 9No, remainder 3
Divisible by 10Yes
Divisible by 11No, remainder 5
Divisible by 12No, remainder 6
Divisible by 100No, remainder 90
As a percentage & fraction
As a percentage-39,000%
-390% as a decimal-3.9
-390% of 100-390
-390% of 1,000-3,900
As a fraction of 100-390/100
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