# 13680

## 13,680 is an even composite number composed of four prime numbers multiplied together.

What does the number 13680 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 60 divisors.

13680 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty divisors.

## Prime factorization of 13680:

### 24 × 32 × 5 × 19

(2 × 2 × 2 × 2 × 3 × 3 × 5 × 19)

See below for interesting mathematical facts about the number 13680 from the Numbermatics database.

### Names of 13680

• Cardinal: 13680 can be written as Thirteen thousand, six hundred eighty.

### Scientific notation

• Scientific notation: 1.368 × 104

### Factors of 13680

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 29

### Divisors of 13680

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 48360
• Sum of proper divisors (its aliquot sum) s(n): 34680
• 13680 is an abundant number, because the sum of its proper divisors (34680) is greater than itself. Its abundance is 21000

### Bases of 13680

• Binary: 110101011100002
• Base-36: AK0

### Squares and roots of 13680

• 13680 squared (136802) is 187142400
• 13680 cubed (136803) is 2560108032000
• The square root of 13680 is 116.9615321377
• The cube root of 13680 is 23.9163756287

### Scales and comparisons

How big is 13680?
• 13,680 seconds is equal to 3 hours, 48 minutes.
• To count from 1 to 13,680 would take you about three 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 13680 cubic inches would be around 2 feet tall.

### Recreational maths with 13680

• 13680 backwards is 08631
• 13680 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 13680's digits is 18
• More coming soon!