# 6864

## 6,864 is an even composite number composed of four prime numbers multiplied together.

What does the number 6864 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

6864 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

## Prime factorization of 6864:

### 24 × 3 × 11 × 13

(2 × 2 × 2 × 2 × 3 × 11 × 13)

See below for interesting mathematical facts about the number 6864 from the Numbermatics database.

### Names of 6864

• Cardinal: 6864 can be written as Six thousand, eight hundred sixty-four.

### Scientific notation

• Scientific notation: 6.864 × 103

### Factors of 6864

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 29

### Divisors of 6864

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 20832
• Sum of proper divisors (its aliquot sum) s(n): 13968
• 6864 is an abundant number, because the sum of its proper divisors (13968) is greater than itself. Its abundance is 7104

### Bases of 6864

• Binary: 11010110100002
• Base-36: 5AO

### Squares and roots of 6864

• 6864 squared (68642) is 47114496
• 6864 cubed (68643) is 323393900544
• The square root of 6864 is 82.8492607089
• The cube root of 6864 is 19.0046156837

### Scales and comparisons

How big is 6864?
• 6,864 seconds is equal to 1 hour, 54 minutes, 24 seconds.
• To count from 1 to 6,864 would take you about fifty-four 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 6864 cubic inches would be around 1.6 feet tall.

### Recreational maths with 6864

• 6864 backwards is 4686
• 6864 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 6864's digits is 24
• More coming soon!

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The information we have on file for 6864 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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