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1080

Number 1080: Properties, Factors, and Mathematical Facts

Short answer

The number 1080 is an even composite number with 32 positive divisors. Its prime factorization is 2³ × 3³ × 5. It is also an abundant number, which gives it several notable mathematical relationships.

Is 1080 prime?

ClassificationCompositeParityEvenDivisor count32AbundanceAbundant

What is the prime factorization of 1080?

Prime factorization

1080 =
2 cubed times 3 cubed times 5
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What are the divisors of 1080?

Divisor count

32

Divisor sum

3,600

Proper divisor sum

2,520
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 8
  • 9
  • 10
  • 12
  • 15
  • 18
  • 20
  • 24
  • 27
  • 30
  • 36
  • 40
  • 45
  • 54
  • 60
  • 72
  • 90
  • 108

How is 1080 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 1080 represented in other numeral systems?

Decimal

1080

Binary

10000111000
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Octal

2070

Hexadecimal

Roman

In words

one thousand eighty

Roots and powers

Square root

32.863353 Approximate

Cube root

10.259856 Approximate

Nearest lower square

1024

Nearest higher square

1089

Nearest lower cube

1000

Nearest higher cube

1331

What are the digit properties of 1080?

Digit count

4

Digit sum

Digit product

0

Digital root

9

Reversed number

801

Why these results are true

  • 1080 is composite because it has positive divisors other than 1 and itself.
  • 1080 is abundant because the sum of its proper divisors (2520) is greater than 1080.

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FAQ for 1080

Is 1080 prime?
No
What is the prime factorization of 1080?
2³ × 3³ × 5
Is 1080 a perfect square?
No
What is 1080 in binary?
10000111000
What is 1080 in Roman numerals?
MLXXX

Read calculation methodology