# 16400

## 16,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 16400 look like?

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

16400 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 16400:

### 24 × 52 × 41

(2 × 2 × 2 × 2 × 5 × 5 × 41)

See below for interesting mathematical facts about the number 16400 from the Numbermatics database.

### Names of 16400

• Cardinal: 16400 can be written as Sixteen thousand, four hundred.

### Scientific notation

• Scientific notation: 1.64 × 104

### Factors of 16400

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 48

### Divisors of 16400

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 40362
• Sum of proper divisors (its aliquot sum) s(n): 23962
• 16400 is an abundant number, because the sum of its proper divisors (23962) is greater than itself. Its abundance is 7562

### Bases of 16400

• Binary: 1000000000100002
• Base-36: CNK

### Squares and roots of 16400

• 16400 squared (164002) is 268960000
• 16400 cubed (164003) is 4410944000000
• The square root of 16400 is 128.0624847489
• The cube root of 16400 is 25.4066818555

### Scales and comparisons

How big is 16400?
• 16,400 seconds is equal to 4 hours, 33 minutes, 20 seconds.
• To count from 1 to 16,400 would take you about four 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 16400 cubic inches would be around 2.1 feet tall.

### Recreational maths with 16400

• 16400 backwards is 00461
• The number of decimal digits it has is: 5
• The sum of 16400's digits is 11
• More coming soon!