# 13800

## 13,800 is an even composite number composed of four prime numbers multiplied together.

What does the number 13800 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

13800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 13800:

### 23 × 3 × 52 × 23

(2 × 2 × 2 × 3 × 5 × 5 × 23)

See below for interesting mathematical facts about the number 13800 from the Numbermatics database.

### Names of 13800

• Cardinal: 13800 can be written as Thirteen thousand, eight hundred.

### Scientific notation

• Scientific notation: 1.38 × 104

### Factors of 13800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 33

### Divisors of 13800

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 44640
• Sum of proper divisors (its aliquot sum) s(n): 30840
• 13800 is an abundant number, because the sum of its proper divisors (30840) is greater than itself. Its abundance is 17040

### Bases of 13800

• Binary: 110101111010002
• Base-36: ANC

### Squares and roots of 13800

• 13800 squared (138002) is 190440000
• 13800 cubed (138003) is 2628072000000
• The square root of 13800 is 117.4734012447
• The cube root of 13800 is 23.9861030659

### Scales and comparisons

How big is 13800?
• 13,800 seconds is equal to 3 hours, 50 minutes.
• To count from 1 to 13,800 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 13800 cubic inches would be around 2 feet tall.

### Recreational maths with 13800

• 13800 backwards is 00831
• 13800 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 13800's digits is 12
• More coming soon!