11664
Number 11664: Properties, Factors, and Mathematical Facts
Short answer
The number 11664 is an even composite number with 35 positive divisors. Its prime factorization is 2⁴ × 3⁶. It is also an abundant number and a perfect square, which gives it several notable mathematical relationships.
Is 11664 prime?
ClassificationCompositeParityEvenDivisor count35AbundanceAbundant
What is the prime factorization of 11664?
Prime factorization
2 to the power of 4 times 3 to the power of 6
What are the divisors of 11664?
Divisor count
35
Divisor sum
33,883
Proper divisor sum
22,219
- 1
- 2
- 3
- 4
- 6
- 8
- 9
- 12
- 16
- 18
- 24
- 27
- 36
- 48
- 54
- 72
- 81
- 108
- 144
- 162
- 216
- 243
- 324
- 432
How is 11664 classified?
Prime
CompositeLearn more →
Perfect square
YesLearn more →
Perfect cube
No
Fibonacci
No
Triangular
No
Power of two
No
How is 11664 represented in other numeral systems?
Decimal
11664
Binary
10110110010000
Octal
26620
Hexadecimal
2D90
Roman
No conventional Roman numeral
In words
eleven thousand six hundred sixty four
Roots and powers
Square root
108 Exact
Cube root
22.678579 Approximate
Nearest lower square
11664
Nearest higher square
11881
Nearest lower cube
10648
Nearest higher cube
12167
What are the digit properties of 11664?
Which numbers are related to 11664?
Why these results are true
- 11664 is composite because it has positive divisors other than 1 and itself.
- 11664 is abundant because the sum of its proper divisors (22219) is greater than 11664.
Compare this number
FAQ for 11664
- Is 11664 prime?
- No
- What is the prime factorization of 11664?
- 2⁴ × 3⁶
- Is 11664 a perfect square?
- Yes
- What is 11664 in binary?
- 10110110010000