# 11232

## 11,232 is an even composite number composed of three prime numbers multiplied together.

What does the number 11232 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

11232 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 11232:

### 25 × 33 × 13

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13)

See below for interesting mathematical facts about the number 11232 from the Numbermatics database.

### Names of 11232

• Cardinal: 11232 can be written as Eleven thousand, two hundred thirty-two.

### Scientific notation

• Scientific notation: 1.1232 × 104

### Factors of 11232

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 18

### Divisors of 11232

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 35280
• Sum of proper divisors (its aliquot sum) s(n): 24048
• 11232 is an abundant number, because the sum of its proper divisors (24048) is greater than itself. Its abundance is 12816

### Bases of 11232

• Binary: 101011111000002
• Base-36: 8O0

### Squares and roots of 11232

• 11232 squared (112322) is 126157824
• 11232 cubed (112323) is 1417004679168
• The square root of 11232 is 105.9811303959
• The cube root of 11232 is 22.3950669409

### Scales and comparisons

How big is 11232?
• 11,232 seconds is equal to 3 hours, 7 minutes, 12 seconds.
• To count from 1 to 11,232 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 11232 cubic inches would be around 1.9 feet tall.

### Recreational maths with 11232

• 11232 backwards is 23211
• 11232 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 11232's digits is 9
• More coming soon!