# 31680

## 31,680 is an even composite number composed of four prime numbers multiplied together.

What does the number 31680 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 84 divisors.

31680 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.

## Prime factorization of 31680:

### 26 × 32 × 5 × 11

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11)

See below for interesting mathematical facts about the number 31680 from the Numbermatics database.

### Names of 31680

• Cardinal: 31680 can be written as Thirty-one thousand, six hundred eighty.

### Scientific notation

• Scientific notation: 3.168 × 104

### Factors of 31680

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 21

### Divisors of 31680

• Number of divisors d(n): 84
• Complete list of divisors:
• Sum of all divisors σ(n): 118872
• Sum of proper divisors (its aliquot sum) s(n): 87192
• 31680 is an abundant number, because the sum of its proper divisors (87192) is greater than itself. Its abundance is 55512

### Bases of 31680

• Binary: 1111011110000002
• Base-36: OG0

### Squares and roots of 31680

• 31680 squared (316802) is 1003622400
• 31680 cubed (316803) is 31794757632000
• The square root of 31680 is 177.9887636903
• The cube root of 31680 is 31.6418395739

### Scales and comparisons

How big is 31680?
• 31,680 seconds is equal to 8 hours, 48 minutes.
• To count from 1 to 31,680 would take you about eight 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 31680 cubic inches would be around 2.6 feet tall.

### Recreational maths with 31680

• 31680 backwards is 08613
• 31680 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 31680's digits is 18
• More coming soon!