33120
Number 33120: Properties, Factors, and Mathematical Facts
Short answer
The number 33120 is an even composite number with 72 positive divisors. Its prime factorization is 2⁵ × 3² × 5 × 23. It is also an abundant number, which gives it several notable mathematical relationships.
Is 33120 prime?
ClassificationCompositeParityEvenDivisor count72AbundanceAbundant
What is the prime factorization of 33120?
Prime factorization
2 to the power of 5 times 3 squared times 5 times 23
What are the divisors of 33120?
Divisor count
72
Divisor sum
117,936
Proper divisor sum
84,816
- 1
- 2
- 3
- 4
- 5
- 6
- 8
- 9
- 10
- 12
- 15
- 16
- 18
- 20
- 23
- 24
- 30
- 32
- 36
- 40
- 45
- 46
- 48
- 60
How is 33120 classified?
How is 33120 represented in other numeral systems?
Decimal
33120
Binary
1000000101100000
Octal
100540
Hexadecimal
8160
Roman
No conventional Roman numeral
In words
thirty three thousand one hundred twenty
Roots and powers
Square root
181.989011 Approximate
Cube root
32.114175 Approximate
Nearest lower square
32761
Nearest higher square
33124
Nearest lower cube
32768
Nearest higher cube
35937
What are the digit properties of 33120?
Which numbers are related to 33120?
Why these results are true
- 33120 is composite because it has positive divisors other than 1 and itself.
- 33120 is abundant because the sum of its proper divisors (84816) is greater than 33120.
Compare this number
FAQ for 33120
- Is 33120 prime?
- No
- What is the prime factorization of 33120?
- 2⁵ × 3² × 5 × 23
- Is 33120 a perfect square?
- No
- What is 33120 in binary?
- 1000000101100000