# 11200

## 11,200 is an even composite number composed of three prime numbers multiplied together.

What does the number 11200 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 42 divisors.

11200 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-two divisors.

## Prime factorization of 11200:

### 26 × 52 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7)

See below for interesting mathematical facts about the number 11200 from the Numbermatics database.

### Names of 11200

• Cardinal: 11200 can be written as Eleven thousand, two hundred.

### Scientific notation

• Scientific notation: 1.12 × 104

### Factors of 11200

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 14

### Divisors of 11200

• Number of divisors d(n): 42
• Complete list of divisors:
• Sum of all divisors σ(n): 31496
• Sum of proper divisors (its aliquot sum) s(n): 20296
• 11200 is an abundant number, because the sum of its proper divisors (20296) is greater than itself. Its abundance is 9096

### Bases of 11200

• Binary: 101011110000002
• Base-36: 8N4

### Squares and roots of 11200

• 11200 squared (112002) is 125440000
• 11200 cubed (112003) is 1404928000000
• The square root of 11200 is 105.8300524425
• The cube root of 11200 is 22.3737788415

### Scales and comparisons

How big is 11200?
• 11,200 seconds is equal to 3 hours, 6 minutes, 40 seconds.
• To count from 1 to 11,200 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 11200 cubic inches would be around 1.9 feet tall.

### Recreational maths with 11200

• 11200 backwards is 00211
• 11200 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 11200's digits is 4
• More coming soon!