# 13288

## 13,288 is an even composite number composed of three prime numbers multiplied together.

What does the number 13288 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

13288 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 13288:

### 23 × 11 × 151

(2 × 2 × 2 × 11 × 151)

See below for interesting mathematical facts about the number 13288 from the Numbermatics database.

### Names of 13288

• Cardinal: 13288 can be written as Thirteen thousand, two hundred eighty-eight.

### Scientific notation

• Scientific notation: 1.3288 × 104

### Factors of 13288

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 164

### Divisors of 13288

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 27360
• Sum of proper divisors (its aliquot sum) s(n): 14072
• 13288 is an abundant number, because the sum of its proper divisors (14072) is greater than itself. Its abundance is 784

### Bases of 13288

• Binary: 110011111010002
• Base-36: A94

### Squares and roots of 13288

• 13288 squared (132882) is 176570944
• 13288 cubed (132883) is 2346274703872
• The square root of 13288 is 115.2735876079
• The cube root of 13288 is 23.6857172097

### Scales and comparisons

How big is 13288?
• 13,288 seconds is equal to 3 hours, 41 minutes, 28 seconds.
• To count from 1 to 13,288 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 13288 cubic inches would be around 2 feet tall.

### Recreational maths with 13288

• 13288 backwards is 88231
• 13288 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 13288's digits is 22
• More coming soon!

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"Number 13288 - Facts about the integer". Numbermatics.com. 2021. Web. 26 October 2021.

APA style:
Numbermatics. (2021). Number 13288 - Facts about the integer. Retrieved 26 October 2021, from https://numbermatics.com/n/13288/

Chicago style:
Numbermatics. 2021. "Number 13288 - Facts about the integer". https://numbermatics.com/n/13288/

The information we have on file for 13288 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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