# 13664

## 13,664 is an even composite number composed of three prime numbers multiplied together.

What does the number 13664 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

13664 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 13664:

### 25 × 7 × 61

(2 × 2 × 2 × 2 × 2 × 7 × 61)

See below for interesting mathematical facts about the number 13664 from the Numbermatics database.

### Names of 13664

• Cardinal: 13664 can be written as Thirteen thousand, six hundred sixty-four.

### Scientific notation

• Scientific notation: 1.3664 × 104

### Factors of 13664

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 70

### Divisors of 13664

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 31248
• Sum of proper divisors (its aliquot sum) s(n): 17584
• 13664 is an abundant number, because the sum of its proper divisors (17584) is greater than itself. Its abundance is 3920

### Bases of 13664

• Binary: 110101011000002
• Base-36: AJK

### Squares and roots of 13664

• 13664 squared (136642) is 186704896
• 13664 cubed (136643) is 2551135698944
• The square root of 13664 is 116.8931135697
• The cube root of 13664 is 23.9070478677

### Scales and comparisons

How big is 13664?
• 13,664 seconds is equal to 3 hours, 47 minutes, 44 seconds.
• To count from 1 to 13,664 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 13664 cubic inches would be around 2 feet tall.

### Recreational maths with 13664

• 13664 backwards is 46631
• The number of decimal digits it has is: 5
• The sum of 13664's digits is 20
• More coming soon!

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"Number 13664 - Facts about the integer". Numbermatics.com. 2023. Web. 7 June 2023.

APA style:
Numbermatics. (2023). Number 13664 - Facts about the integer. Retrieved 7 June 2023, from https://numbermatics.com/n/13664/

Chicago style:
Numbermatics. 2023. "Number 13664 - Facts about the integer". https://numbermatics.com/n/13664/

The information we have on file for 13664 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!

Keywords: Divisors of 13664, math, Factors of 13664, curriculum, school, college, exams, university, Prime factorization of 13664, STEM, science, technology, engineering, physics, economics, calculator, thirteen thousand, six hundred sixty-four.

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