# 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!

MLA style:
"Number 1116 - Facts about the integer". Numbermatics.com. 2021. Web. 9 December 2021.

APA style:
Numbermatics. (2021). Number 1116 - Facts about the integer. Retrieved 9 December 2021, from https://numbermatics.com/n/1116/

Chicago style:
Numbermatics. 2021. "Number 1116 - Facts about the integer". https://numbermatics.com/n/1116/

The information we have on file for 1116 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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