# 6816

## 6,816 is an even composite number composed of three prime numbers multiplied together.

What does the number 6816 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

6816 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 6816:

### 25 × 3 × 71

(2 × 2 × 2 × 2 × 2 × 3 × 71)

See below for interesting mathematical facts about the number 6816 from the Numbermatics database.

### Names of 6816

• Cardinal: 6816 can be written as Six thousand, eight hundred sixteen.

### Scientific notation

• Scientific notation: 6.816 × 103

### Factors of 6816

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 76

### Divisors of 6816

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 18144
• Sum of proper divisors (its aliquot sum) s(n): 11328
• 6816 is an abundant number, because the sum of its proper divisors (11328) is greater than itself. Its abundance is 4512

### Bases of 6816

• Binary: 11010101000002
• Base-36: 59C

### Squares and roots of 6816

• 6816 squared (68162) is 46457856
• 6816 cubed (68163) is 316656746496
• The square root of 6816 is 82.5590697623
• The cube root of 6816 is 18.9602122143

### Scales and comparisons

How big is 6816?
• 6,816 seconds is equal to 53 minutes, 36 seconds.
• To count from 1 to 6,816 would take you about fifty-three 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 6816 cubic inches would be around 1.6 feet tall.

### Recreational maths with 6816

• 6816 backwards is 6186
• The number of decimal digits it has is: 4
• The sum of 6816's digits is 21
• More coming soon!