# 11250

## 11,250 is an even composite number composed of three prime numbers multiplied together.

What does the number 11250 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

11250 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

## Prime factorization of 11250:

### 2 × 32 × 54

(2 × 3 × 3 × 5 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 11250 from the Numbermatics database.

### Names of 11250

• Cardinal: 11250 can be written as Eleven thousand, two hundred fifty.

### Scientific notation

• Scientific notation: 1.125 × 104

### Factors of 11250

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 10

### Divisors of 11250

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 30459
• Sum of proper divisors (its aliquot sum) s(n): 19209
• 11250 is an abundant number, because the sum of its proper divisors (19209) is greater than itself. Its abundance is 7959

### Bases of 11250

• Binary: 101011111100102
• Base-36: 8OI

### Squares and roots of 11250

• 11250 squared (112502) is 126562500
• 11250 cubed (112503) is 1423828125000
• The square root of 11250 is 106.0660171779
• The cube root of 11250 is 22.4070237327

### Scales and comparisons

How big is 11250?
• 11,250 seconds is equal to 3 hours, 7 minutes, 30 seconds.
• To count from 1 to 11,250 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 11250 cubic inches would be around 1.9 feet tall.

### Recreational maths with 11250

• 11250 backwards is 05211
• 11250 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 11250's digits is 9
• More coming soon!