# 6400

## 6,400 is an even composite number composed of two prime numbers multiplied together.

What does the number 6400 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 27 divisors.

6400 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-seven divisors.

## Prime factorization of 6400:

### 28 × 52

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5)

See below for interesting mathematical facts about the number 6400 from the Numbermatics database.

### Names of 6400

• Cardinal: 6400 can be written as Six thousand, four hundred.

### Scientific notation

• Scientific notation: 6.4 × 103

### Factors of 6400

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 7

### Divisors of 6400

• Number of divisors d(n): 27
• Complete list of divisors:
• Sum of all divisors σ(n): 15841
• Sum of proper divisors (its aliquot sum) s(n): 9441
• 6400 is an abundant number, because the sum of its proper divisors (9441) is greater than itself. Its abundance is 3041

### Bases of 6400

• Binary: 11001000000002
• Base-36: 4XS

### Squares and roots of 6400

• 6400 squared (64002) is 40960000
• 6400 cubed (64003) is 262144000000
• 6400 is a perfect square number. Its square root is 80
• The cube root of 6400 is 18.5663553343

### Scales and comparisons

How big is 6400?
• 6,400 seconds is equal to 1 hour, 46 minutes, 40 seconds.
• To count from 1 to 6,400 would take you about forty-six minutes.

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 6400 cubic inches would be around 1.5 feet tall.

### Recreational maths with 6400

• 6400 backwards is 0046
• 6400 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 6400's digits is 10
• More coming soon!