360
Number 360: Properties, Factors, and Mathematical Facts
Short answer
The number 360 is an even composite number with 24 positive divisors. Its prime factorization is 2³ × 3² × 5. It is also an abundant number, which gives it several notable mathematical relationships.
Is 360 prime?
ClassificationCompositeParityEvenDivisor count24AbundanceAbundant
What is the prime factorization of 360?
Prime factorization
2 cubed times 3 squared times 5
What are the divisors of 360?
Divisor count
24
Divisor sum
1,170
Proper divisor sum
810
- 1
- 2
- 3
- 4
- 5
- 6
- 8
- 9
- 10
- 12
- 15
- 18
- 20
- 24
- 30
- 36
- 40
- 45
- 60
- 72
- 90
- 120
- 180
- 360
How is 360 classified?
How is 360 represented in other numeral systems?
Decimal
360
Binary
101101000
Octal
550
Hexadecimal
168
Roman
CCCLXLearn more →
In words
three hundred sixty
Roots and powers
Square root
18.973666 Approximate
Cube root
7.113787 Approximate
Nearest lower square
324
Nearest higher square
361
Nearest lower cube
343
Nearest higher cube
512
What are the digit properties of 360?
Which numbers are related to 360?
Why these results are true
- 360 is composite because it has positive divisors other than 1 and itself.
- 360 is abundant because the sum of its proper divisors (810) is greater than 360.
Compare this number
FAQ for 360
- Is 360 prime?
- No
- What is the prime factorization of 360?
- 2³ × 3² × 5
- Is 360 a perfect square?
- No
- What is 360 in binary?
- 101101000
- What is 360 in Roman numerals?
- CCCLX