# 1116

## 1,116 is an even composite number composed of three prime numbers multiplied together.

What does the number 1116 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

1116 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 1116:

### 22 × 32 × 31

(2 × 2 × 3 × 3 × 31)

See below for interesting mathematical facts about the number 1116 from the Numbermatics database.

### Names of 1116

• Cardinal: 1116 can be written as One thousand, one hundred sixteen.

### Scientific notation

• Scientific notation: 1.116 × 103

### Factors of 1116

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 36

### Divisors of 1116

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 2912
• Sum of proper divisors (its aliquot sum) s(n): 1796
• 1116 is an abundant number, because the sum of its proper divisors (1796) is greater than itself. Its abundance is 680

### Bases of 1116

• Binary: 100010111002
• Base-36: V0

### Squares and roots of 1116

• 1116 squared (11162) is 1245456
• 1116 cubed (11163) is 1389928896
• The square root of 1116 is 33.4065861769
• The cube root of 1116 is 10.3726103755

### Scales and comparisons

How big is 1116?
• 1,116 seconds is equal to 18 minutes, 36 seconds.
• To count from 1 to 1,116 would take you about eighteen 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 1116 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1116

• 1116 backwards is 6111
• 1116 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1116's digits is 9
• More coming soon!