# 18400

## 18,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 18400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

18400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 18400:

### 25 × 52 × 23

(2 × 2 × 2 × 2 × 2 × 5 × 5 × 23)

See below for interesting mathematical facts about the number 18400 from the Numbermatics database.

### Names of 18400

• Cardinal: 18400 can be written as Eighteen thousand, four hundred.

### Scientific notation

• Scientific notation: 1.84 × 104

### Factors of 18400

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 30

### Divisors of 18400

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 46872
• Sum of proper divisors (its aliquot sum) s(n): 28472
• 18400 is an abundant number, because the sum of its proper divisors (28472) is greater than itself. Its abundance is 10072

### Bases of 18400

• Binary: 1000111111000002
• Base-36: E74

### Squares and roots of 18400

• 18400 squared (184002) is 338560000
• 18400 cubed (184003) is 6229504000000
• The square root of 18400 is 135.6465996625
• The cube root of 18400 is 26.4001224359

### Scales and comparisons

How big is 18400?
• 18,400 seconds is equal to 5 hours, 6 minutes, 40 seconds.
• To count from 1 to 18,400 would take you about five 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 18400 cubic inches would be around 2.2 feet tall.

### Recreational maths with 18400

• 18400 backwards is 00481
• The number of decimal digits it has is: 5
• The sum of 18400's digits is 13
• More coming soon!