27264
Number 27264: Properties, Factors, and Mathematical Facts
Short answer
The number 27264 is an even composite number with 32 positive divisors. Its prime factorization is 2⁷ × 3 × 71. It is also an abundant number, which gives it several notable mathematical relationships.
Is 27264 prime?
ClassificationCompositeParityEvenDivisor count32AbundanceAbundant
What is the prime factorization of 27264?
Prime factorization
2 to the power of 7 times 3 times 71
What are the divisors of 27264?
Divisor count
32
Divisor sum
73,440
Proper divisor sum
46,176
- 1
- 2
- 3
- 4
- 6
- 8
- 12
- 16
- 24
- 32
- 48
- 64
- 71
- 96
- 128
- 142
- 192
- 213
- 284
- 384
- 426
- 568
- 852
- 1136
How is 27264 classified?
How is 27264 represented in other numeral systems?
Decimal
27264
Binary
110101010000000
Octal
65200
Hexadecimal
6A80
Roman
No conventional Roman numeral
In words
twenty seven thousand two hundred sixty four
Roots and powers
Square root
165.118140 Approximate
Cube root
30.097461 Approximate
Nearest lower square
27225
Nearest higher square
27556
Nearest lower cube
27000
Nearest higher cube
29791
What are the digit properties of 27264?
Which numbers are related to 27264?
Why these results are true
- 27264 is composite because it has positive divisors other than 1 and itself.
- 27264 is abundant because the sum of its proper divisors (46176) is greater than 27264.
Compare this number
FAQ for 27264
- Is 27264 prime?
- No
- What is the prime factorization of 27264?
- 2⁷ × 3 × 71
- Is 27264 a perfect square?
- No
- What is 27264 in binary?
- 110101010000000