# 13824

## 13,824 is an even composite number composed of two prime numbers multiplied together.

What does the number 13824 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 40 divisors.

13824 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of forty divisors.

## Prime factorization of 13824:

### 29 × 33

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 13824 from the Numbermatics database.

### Names of 13824

• Cardinal: 13824 can be written as Thirteen thousand, eight hundred twenty-four.

### Scientific notation

• Scientific notation: 1.3824 × 104

### Factors of 13824

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 5

### Divisors of 13824

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 40920
• Sum of proper divisors (its aliquot sum) s(n): 27096
• 13824 is an abundant number, because the sum of its proper divisors (27096) is greater than itself. Its abundance is 13272

### Bases of 13824

• Binary: 110110000000002
• Base-36: AO0

### Squares and roots of 13824

• 13824 squared (138242) is 191102976
• 13824 cubed (138243) is 2641807540224
• The square root of 13824 is 117.5755076535
• 13824 is a perfect cube number. Its cube root is 24

### Scales and comparisons

How big is 13824?
• 13,824 seconds is equal to 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 13,824 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 13824 cubic inches would be around 2 feet tall.

### Recreational maths with 13824

• 13824 backwards is 42831
• 13824 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 13824's digits is 18
• More coming soon!

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"Number 13824 - Facts about the integer". Numbermatics.com. 2021. Web. 23 October 2021.

APA style:
Numbermatics. (2021). Number 13824 - Facts about the integer. Retrieved 23 October 2021, from https://numbermatics.com/n/13824/

Chicago style:
Numbermatics. 2021. "Number 13824 - Facts about the integer". https://numbermatics.com/n/13824/

The information we have on file for 13824 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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