# 816

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

What does the number 816 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

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

## Prime factorization of 816:

### 24 × 3 × 17

(2 × 2 × 2 × 2 × 3 × 17)

See below for interesting mathematical facts about the number 816 from the Numbermatics database.

### Names of 816

• Cardinal: 816 can be written as Eight hundred sixteen.

### Scientific notation

• Scientific notation: 8.16 × 102

### Factors of 816

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 22

### Divisors of 816

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 2232
• Sum of proper divisors (its aliquot sum) s(n): 1416
• 816 is an abundant number, because the sum of its proper divisors (1416) is greater than itself. Its abundance is 600

### Bases of 816

• Binary: 11001100002
• Base-36: MO

### Squares and roots of 816

• 816 squared (8162) is 665856
• 816 cubed (8163) is 543338496
• The square root of 816 is 28.5657137141
• The cube root of 816 is 9.3446574567

### Scales and comparisons

How big is 816?
• 816 seconds is equal to 13 minutes, 36 seconds.
• To count from 1 to 816 would take you about 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 816 cubic inches would be around 0.8 feet tall.

### Recreational maths with 816

• 816 backwards is 618
• The number of decimal digits it has is: 3
• The sum of 816's digits is 15
• More coming soon!