# 1080

## 1,080 is an even composite number composed of three prime numbers multiplied together.

What does the number 1080 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

1080 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 1080:

### 23 × 33 × 5

(2 × 2 × 2 × 3 × 3 × 3 × 5)

See below for interesting mathematical facts about the number 1080 from the Numbermatics database.

### Names of 1080

• Cardinal: 1080 can be written as One thousand and eighty.

### Scientific notation

• Scientific notation: 1.08 × 103

### Factors of 1080

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 10

### Divisors of 1080

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 3600
• Sum of proper divisors (its aliquot sum) s(n): 2520
• 1080 is an abundant number, because the sum of its proper divisors (2520) is greater than itself. Its abundance is 1440

### Bases of 1080

• Binary: 100001110002
• Base-36: U0

### Squares and roots of 1080

• 1080 squared (10802) is 1166400
• 1080 cubed (10803) is 1259712000
• The square root of 1080 is 32.8633534503
• The cube root of 1080 is 10.2598556803

### Scales and comparisons

How big is 1080?
• 1,080 seconds is equal to 18 minutes.
• To count from 1 to 1,080 would take you about eighteen minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 1080 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1080

• 1080 backwards is 0801
• 1080 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1080's digits is 9
• More coming soon!

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The information we have on file for 1080 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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