# 11916

## 11,916 is an even composite number composed of three prime numbers multiplied together.

What does the number 11916 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

11916 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 11916:

### 22 × 32 × 331

(2 × 2 × 3 × 3 × 331)

See below for interesting mathematical facts about the number 11916 from the Numbermatics database.

### Names of 11916

• Cardinal: 11916 can be written as Eleven thousand, nine hundred sixteen.

### Scientific notation

• Scientific notation: 1.1916 × 104

### Factors of 11916

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 336

### Divisors of 11916

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 30212
• Sum of proper divisors (its aliquot sum) s(n): 18296
• 11916 is an abundant number, because the sum of its proper divisors (18296) is greater than itself. Its abundance is 6380

### Bases of 11916

• Binary: 101110100011002
• Base-36: 970

### Squares and roots of 11916

• 11916 squared (119162) is 141991056
• 11916 cubed (119163) is 1691965423296
• The square root of 11916 is 109.1604323919
• The cube root of 11916 is 22.8407397197

### Scales and comparisons

How big is 11916?
• 11,916 seconds is equal to 3 hours, 18 minutes, 36 seconds.
• To count from 1 to 11,916 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 11916 cubic inches would be around 1.9 feet tall.

### Recreational maths with 11916

• 11916 backwards is 61911
• 11916 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 11916's digits is 18
• More coming soon!