# 10080

## 10,080 is an even composite number composed of four prime numbers multiplied together.

What does the number 10080 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.

10080 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.

## Prime factorization of 10080:

### 25 × 32 × 5 × 7

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7)

See below for interesting mathematical facts about the number 10080 from the Numbermatics database.

### Names of 10080

• Cardinal: 10080 can be written as Ten thousand and eighty.

### Scientific notation

• Scientific notation: 1.008 × 104

### Factors of 10080

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 17

### Divisors of 10080

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 39312
• Sum of proper divisors (its aliquot sum) s(n): 29232
• 10080 is an abundant number, because the sum of its proper divisors (29232) is greater than itself. Its abundance is 19152

### Bases of 10080

• Binary: 100111011000002
• Base-36: 7S0

### Squares and roots of 10080

• 10080 squared (100802) is 101606400
• 10080 cubed (100803) is 1024192512000
• The square root of 10080 is 100.3992031841
• The cube root of 10080 is 21.6016459653

### Scales and comparisons

How big is 10080?
• 10,080 seconds is equal to 2 hours, 48 minutes.
• To count from 1 to 10,080 would take you about two hours.

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 10080 cubic inches would be around 1.8 feet tall.

### Recreational maths with 10080

• 10080 backwards is 08001
• 10080 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 10080's digits is 9
• More coming soon!