14400
Number 14400: Properties, Factors, and Mathematical Facts
Short answer
The number 14400 is an even composite number with 63 positive divisors. Its prime factorization is 2⁶ × 3² × 5². It is also an abundant number and a perfect square, which gives it several notable mathematical relationships.
Is 14400 prime?
ClassificationCompositeParityEvenDivisor count63AbundanceAbundant
What is the prime factorization of 14400?
Prime factorization
2 to the power of 6 times 3 squared times 5 squared
What are the divisors of 14400?
Divisor count
63
Divisor sum
51,181
Proper divisor sum
36,781
- 1
- 2
- 3
- 4
- 5
- 6
- 8
- 9
- 10
- 12
- 15
- 16
- 18
- 20
- 24
- 25
- 30
- 32
- 36
- 40
- 45
- 48
- 50
- 60
How is 14400 classified?
Prime
CompositeLearn more →
Perfect square
YesLearn more →
Perfect cube
No
Fibonacci
No
Triangular
No
Power of two
No
How is 14400 represented in other numeral systems?
Decimal
14400
Binary
11100001000000
Octal
34100
Hexadecimal
3840
Roman
No conventional Roman numeral
In words
fourteen thousand four hundred
Roots and powers
Square root
120 Exact
Cube root
24.328808 Approximate
Nearest lower square
14400
Nearest higher square
14641
Nearest lower cube
13824
Nearest higher cube
15625
What are the digit properties of 14400?
Which numbers are related to 14400?
Why these results are true
- 14400 is composite because it has positive divisors other than 1 and itself.
- 14400 is abundant because the sum of its proper divisors (36781) is greater than 14400.
Compare this number
FAQ for 14400
- Is 14400 prime?
- No
- What is the prime factorization of 14400?
- 2⁶ × 3² × 5²
- Is 14400 a perfect square?
- Yes
- What is 14400 in binary?
- 11100001000000