# 11872

## 11,872 is an even composite number composed of three prime numbers multiplied together.

What does the number 11872 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

11872 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 11872:

### 25 × 7 × 53

(2 × 2 × 2 × 2 × 2 × 7 × 53)

See below for interesting mathematical facts about the number 11872 from the Numbermatics database.

### Names of 11872

• Cardinal: 11872 can be written as Eleven thousand, eight hundred seventy-two.

### Scientific notation

• Scientific notation: 1.1872 × 104

### Factors of 11872

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 62

### Divisors of 11872

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 27216
• Sum of proper divisors (its aliquot sum) s(n): 15344
• 11872 is an abundant number, because the sum of its proper divisors (15344) is greater than itself. Its abundance is 3472

### Bases of 11872

• Binary: 101110011000002
• Base-36: 95S

### Squares and roots of 11872

• 11872 squared (118722) is 140944384
• 11872 cubed (118723) is 1673291726848
• The square root of 11872 is 108.9587077751
• The cube root of 11872 is 22.8125917929

### Scales and comparisons

How big is 11872?
• 11,872 seconds is equal to 3 hours, 17 minutes, 52 seconds.
• To count from 1 to 11,872 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 11872 cubic inches would be around 1.9 feet tall.

### Recreational maths with 11872

• 11872 backwards is 27811
• The number of decimal digits it has is: 5
• The sum of 11872's digits is 19
• More coming soon!