# 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!

MLA style:
"Number 6400 - Facts about the integer". Numbermatics.com. 2023. Web. 30 March 2023.

APA style:
Numbermatics. (2023). Number 6400 - Facts about the integer. Retrieved 30 March 2023, from https://numbermatics.com/n/6400/

Chicago style:
Numbermatics. 2023. "Number 6400 - Facts about the integer". https://numbermatics.com/n/6400/

The information we have on file for 6400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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