# 11520

## 11,520 is an even composite number composed of three prime numbers multiplied together.

What does the number 11520 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 54 divisors.

11520 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-four divisors.

## Prime factorization of 11520:

### 28 × 32 × 5

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

See below for interesting mathematical facts about the number 11520 from the Numbermatics database.

### Names of 11520

• Cardinal: 11520 can be written as Eleven thousand, five hundred twenty.

### Scientific notation

• Scientific notation: 1.152 × 104

### Factors of 11520

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 10

### Divisors of 11520

• Number of divisors d(n): 54
• Complete list of divisors:
• Sum of all divisors σ(n): 39858
• Sum of proper divisors (its aliquot sum) s(n): 28338
• 11520 is an abundant number, because the sum of its proper divisors (28338) is greater than itself. Its abundance is 16818

### Bases of 11520

• Binary: 101101000000002
• Base-36: 8W0

### Squares and roots of 11520

• 11520 squared (115202) is 132710400
• 11520 cubed (115203) is 1528823808000
• The square root of 11520 is 107.3312629201
• The cube root of 11520 is 22.5848646931

### Scales and comparisons

How big is 11520?
• 11,520 seconds is equal to 3 hours, 12 minutes.
• To count from 1 to 11,520 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 11520 cubic inches would be around 1.9 feet tall.

### Recreational maths with 11520

• 11520 backwards is 02511
• 11520 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 11520's digits is 9
• More coming soon!