Recognised as Number
-1,350
- Negative
- Even
- 4 digits
-1,350 is an even 4-digit integer and the negative of 1,350. It has 24 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value1,350
Digit count4
Digit sum9
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 3^3 × 5^2
Distinct prime factors32, 3, 5
Number of divisors24
Sum of divisors σ(n)3,720
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1,35024 in total
Arithmetic
Representations
Decimal-1,350
Binary1010100011011 bits
Octal2506
Hexadecimal546
Base 3611I
In wordsminus one thousand, three hundred and fifty
Ordinalminus one thousand, three hundred and fiftieth
Scientific notation-1.35 × 10^3
Engineering notation-1.35 × 10^3
In other bases
Ternary1212000base 3; the most digit-efficient integer base after e: 7 digits
Quinary20400base 5; one hand: 5 digits
Septenary3636base 7: 4 digits
Nonary1760base 9; each digit is two ternary digits: 4 digits
Duodecimal946base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal37abase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal22:30base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT1011000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111111001110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111101010111010
Bit length11 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits6within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 10worth 1,024
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes205 46
Gray code11111100101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111101010111010two's complement
32-bit11111111111111111111101010111010two's complement
64-bit1111111111111111111111111111111111111111111111111111101010111010two's complement
One's complement0000010101000101at 16 bits, every bit flipped
Bits reversed0101110101011111at 16 bits
Rotated left by 11111010101110101at 16 bits, wrapping
Shifted left by 1-101010001100= -2,700, no wrap
Shifted right by 1-1010100011= -675, discarding the low bit
These bits as a double6.66988622 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,350 to the power 21,822,500
-1,350 to the power 3-2,460,375,000
-1,350 to the power 43,321,506,250,000
-1,350 to the power 5-4,484,033,437,500,000
First ten multiples-1,350, -2,700, -4,050, -5,400, -6,750, -8,100, -9,450, -10,800, -12,150, -13,500
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4No, remainder 2
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 6
Divisible by 8No, remainder 6
Divisible by 9Yes
Divisible by 10Yes
Divisible by 11No, remainder 8
Divisible by 12No, remainder 6
Divisible by 100No, remainder 50
As a percentage & fraction
As a percentage-135,000%
-1,350% as a decimal-13.5
-1,350% of 100-1,350
-1,350% of 1,000-13,500
As a fraction of 100-1,350/100
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