# 2116

## 2,116 is an even composite number composed of two prime numbers multiplied together.

What does the number 2116 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 9 divisors.

2116 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of nine divisors.

## Prime factorization of 2116:

### 22 × 232

(2 × 2 × 23 × 23)

See below for interesting mathematical facts about the number 2116 from the Numbermatics database.

### Names of 2116

• Cardinal: 2116 can be written as Two thousand, one hundred sixteen.

### Scientific notation

• Scientific notation: 2.116 × 103

### Factors of 2116

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 25

### Divisors of 2116

• Number of divisors d(n): 9
• Complete list of divisors:
• Sum of all divisors σ(n): 3871
• Sum of proper divisors (its aliquot sum) s(n): 1755
• 2116 is a deficient number, because the sum of its proper divisors (1755) is less than itself. Its deficiency is 361

### Bases of 2116

• Binary: 1000010001002
• Base-36: 1MS

### Squares and roots of 2116

• 2116 squared (21162) is 4477456
• 2116 cubed (21163) is 9474296896
• 2116 is a perfect square number. Its square root is 46
• The cube root of 2116 is 12.8382320459

### Scales and comparisons

How big is 2116?
• 2,116 seconds is equal to 35 minutes, 16 seconds.
• To count from 1 to 2,116 would take you about thirty-five 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 2116 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2116

• 2116 backwards is 6112
• The number of decimal digits it has is: 4
• The sum of 2116's digits is 10
• More coming soon!