118800
Number 118800: Properties, Factors, and Mathematical Facts
Short answer
The number 118800 is an even composite number with 120 positive divisors. Its prime factorization is 2⁴ × 3³ × 5² × 11. It is also an abundant number, which gives it several notable mathematical relationships.
Is 118800 prime?
ClassificationCompositeParityEvenDivisor count120AbundanceAbundant
What is the prime factorization of 118800?
Prime factorization
2 to the power of 4 times 3 cubed times 5 squared times 11
What are the divisors of 118800?
Divisor count
120
Divisor sum
461,280
Proper divisor sum
342,480
- 1
- 2
- 3
- 4
- 5
- 6
- 8
- 9
- 10
- 11
- 12
- 15
- 16
- 18
- 20
- 22
- 24
- 25
- 27
- 30
- 33
- 36
- 40
- 44
How is 118800 classified?
How is 118800 represented in other numeral systems?
Decimal
118800
Binary
11101000000010000
Octal
350020
Hexadecimal
1D010
Roman
No conventional Roman numeral
In words
one hundred eighteen thousand eight hundred
Roots and powers
Square root
344.673759 Approximate
Cube root
49.159276 Approximate
Nearest lower square
118336
Nearest higher square
119025
Nearest lower cube
117649
Nearest higher cube
125000
What are the digit properties of 118800?
Which numbers are related to 118800?
Why these results are true
- 118800 is composite because it has positive divisors other than 1 and itself.
- 118800 is abundant because the sum of its proper divisors (342480) is greater than 118800.
Compare this number
FAQ for 118800
- Is 118800 prime?
- No
- What is the prime factorization of 118800?
- 2⁴ × 3³ × 5² × 11
- Is 118800 a perfect square?
- No
- What is 118800 in binary?
- 11101000000010000