# 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!