# 11904

## 11,904 is an even composite number composed of three prime numbers multiplied together.

What does the number 11904 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

11904 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 11904:

### 27 × 3 × 31

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 31)

See below for interesting mathematical facts about the number 11904 from the Numbermatics database.

### Names of 11904

• Cardinal: 11904 can be written as Eleven thousand, nine hundred four.

### Scientific notation

• Scientific notation: 1.1904 × 104

### Factors of 11904

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 36

### Divisors of 11904

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 32640
• Sum of proper divisors (its aliquot sum) s(n): 20736
• 11904 is an abundant number, because the sum of its proper divisors (20736) is greater than itself. Its abundance is 8832

### Bases of 11904

• Binary: 101110100000002
• Base-36: 96O

### Squares and roots of 11904

• 11904 squared (119042) is 141705216
• 11904 cubed (119043) is 1686858891264
• The square root of 11904 is 109.1054535759
• The cube root of 11904 is 22.8330698935

### Scales and comparisons

How big is 11904?
• 11,904 seconds is equal to 3 hours, 18 minutes, 24 seconds.
• To count from 1 to 11,904 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 11904 cubic inches would be around 1.9 feet tall.

### Recreational maths with 11904

• 11904 backwards is 40911
• The number of decimal digits it has is: 5
• The sum of 11904's digits is 15
• More coming soon!