# 102400

## 102,400 is an even composite number composed of two prime numbers multiplied together.

What does the number 102400 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 39 divisors.

102400 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of thirty-nine divisors.

## Prime factorization of 102400:

### 212 × 52

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

See below for interesting mathematical facts about the number 102400 from the Numbermatics database.

### Names of 102400

• Cardinal: 102400 can be written as One hundred two thousand, four hundred.

### Scientific notation

• Scientific notation: 1.024 × 105

### Factors of 102400

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 7

### Divisors of 102400

• Number of divisors d(n): 39
• Complete list of divisors:
• Sum of all divisors σ(n): 253921
• Sum of proper divisors (its aliquot sum) s(n): 151521
• 102400 is an abundant number, because the sum of its proper divisors (151521) is greater than itself. Its abundance is 49121

### Bases of 102400

• Binary: 110010000000000002
• Base-36: 270G

### Squares and roots of 102400

• 102400 squared (1024002) is 10485760000
• 102400 cubed (1024003) is 1073741824000000
• 102400 is a perfect square number. Its square root is 320
• The cube root of 102400 is 46.7842838115

### Scales and comparisons

How big is 102400?
• 102,400 seconds is equal to 1 day, 4 hours, 26 minutes, 40 seconds.
• To count from 1 to 102,400 would take you about four 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 102400 cubic inches would be around 3.9 feet tall.

### Recreational maths with 102400

• 102400 backwards is 004201
• The number of decimal digits it has is: 6
• The sum of 102400's digits is 7
• More coming soon!

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"Number 102400 - Facts about the integer". Numbermatics.com. 2023. Web. 3 February 2023.

APA style:
Numbermatics. (2023). Number 102400 - Facts about the integer. Retrieved 3 February 2023, from https://numbermatics.com/n/102400/

Chicago style:
Numbermatics. 2023. "Number 102400 - Facts about the integer". https://numbermatics.com/n/102400/

The information we have on file for 102400 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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