# 12800

## 12,800 is an even composite number composed of two prime numbers multiplied together.

What does the number 12800 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 30 divisors.

12800 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of thirty divisors.

## Prime factorization of 12800:

### 29 × 52

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5)

See below for interesting mathematical facts about the number 12800 from the Numbermatics database.

### Names of 12800

• Cardinal: 12800 can be written as Twelve thousand, eight hundred.

### Scientific notation

• Scientific notation: 1.28 × 104

### Factors of 12800

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 7

### Divisors of 12800

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 31713
• Sum of proper divisors (its aliquot sum) s(n): 18913
• 12800 is an abundant number, because the sum of its proper divisors (18913) is greater than itself. Its abundance is 6113

### Bases of 12800

• Binary: 110010000000002
• Base-36: 9VK

### Squares and roots of 12800

• 12800 squared (128002) is 163840000
• 12800 cubed (128003) is 2097152000000
• The square root of 12800 is 113.1370849899
• The cube root of 12800 is 23.3921419057

### Scales and comparisons

How big is 12800?
• 12,800 seconds is equal to 3 hours, 33 minutes, 20 seconds.
• To count from 1 to 12,800 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 12800 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12800

• 12800 backwards is 00821
• The number of decimal digits it has is: 5
• The sum of 12800's digits is 11
• More coming soon!

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Numbermatics. (2023). Number 12800 - Facts about the integer. Retrieved 3 February 2023, from https://numbermatics.com/n/12800/

Chicago style:
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The information we have on file for 12800 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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