# 13188

## 13,188 is an even composite number composed of four prime numbers multiplied together.

What does the number 13188 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

13188 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 13188:

### 22 × 3 × 7 × 157

(2 × 2 × 3 × 7 × 157)

See below for interesting mathematical facts about the number 13188 from the Numbermatics database.

### Names of 13188

• Cardinal: 13188 can be written as Thirteen thousand, one hundred eighty-eight.

### Scientific notation

• Scientific notation: 1.3188 × 104

### Factors of 13188

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 169

### Divisors of 13188

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 35392
• Sum of proper divisors (its aliquot sum) s(n): 22204
• 13188 is an abundant number, because the sum of its proper divisors (22204) is greater than itself. Its abundance is 9016

### Bases of 13188

• Binary: 110011100001002
• Base-36: A6C

### Squares and roots of 13188

• 13188 squared (131882) is 173923344
• 13188 cubed (131883) is 2293701060672
• The square root of 13188 is 114.8390177597
• The cube root of 13188 is 23.6261512275

### Scales and comparisons

How big is 13188?
• 13,188 seconds is equal to 3 hours, 39 minutes, 48 seconds.
• To count from 1 to 13,188 would take you about three hours.

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 13188 cubic inches would be around 2 feet tall.

### Recreational maths with 13188

• 13188 backwards is 88131
• 13188 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 13188's digits is 21
• More coming soon!

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"Number 13188 - Facts about the integer". Numbermatics.com. 2023. Web. 25 March 2023.

APA style:
Numbermatics. (2023). Number 13188 - Facts about the integer. Retrieved 25 March 2023, from https://numbermatics.com/n/13188/

Chicago style:
Numbermatics. 2023. "Number 13188 - Facts about the integer". https://numbermatics.com/n/13188/

The information we have on file for 13188 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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