# 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!

MLA style:
"Number 10080 - Facts about the integer". Numbermatics.com. 2023. Web. 26 March 2023.

APA style:
Numbermatics. (2023). Number 10080 - Facts about the integer. Retrieved 26 March 2023, from https://numbermatics.com/n/10080/

Chicago style:
Numbermatics. 2023. "Number 10080 - Facts about the integer". https://numbermatics.com/n/10080/

The information we have on file for 10080 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!

Keywords: Divisors of 10080, math, Factors of 10080, curriculum, school, college, exams, university, Prime factorization of 10080, STEM, science, technology, engineering, physics, economics, calculator, ten thousand and eighty.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.