# 13500

## 13,500 is an even composite number composed of three prime numbers multiplied together.

What does the number 13500 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

13500 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 13500:

### 22 × 33 × 53

(2 × 2 × 3 × 3 × 3 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 13500 from the Numbermatics database.

### Names of 13500

• Cardinal: 13500 can be written as Thirteen thousand, five hundred.

### Scientific notation

• Scientific notation: 1.35 × 104

### Factors of 13500

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 10

### Divisors of 13500

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 43680
• Sum of proper divisors (its aliquot sum) s(n): 30180
• 13500 is an abundant number, because the sum of its proper divisors (30180) is greater than itself. Its abundance is 16680

### Bases of 13500

• Binary: 110100101111002
• Base-36: AF0

### Squares and roots of 13500

• 13500 squared (135002) is 182250000
• 13500 cubed (135003) is 2460375000000
• The square root of 13500 is 116.1895003863
• The cube root of 13500 is 23.8110157795

### Scales and comparisons

How big is 13500?
• 13,500 seconds is equal to 3 hours, 45 minutes.
• To count from 1 to 13,500 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 13500 cubic inches would be around 2 feet tall.

### Recreational maths with 13500

• 13500 backwards is 00531
• 13500 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 13500's digits is 9
• More coming soon!

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"Number 13500 - Facts about the integer". Numbermatics.com. 2023. Web. 21 March 2023.

APA style:
Numbermatics. (2023). Number 13500 - Facts about the integer. Retrieved 21 March 2023, from https://numbermatics.com/n/13500/

Chicago style:
Numbermatics. 2023. "Number 13500 - Facts about the integer". https://numbermatics.com/n/13500/

The information we have on file for 13500 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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