# 972800

## 972,800 is an even composite number composed of three prime numbers multiplied together.

What does the number 972800 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 72 divisors.

972800 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy-two divisors.

## Prime factorization of 972800:

### 211 × 52 × 19

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 19)

See below for interesting mathematical facts about the number 972800 from the Numbermatics database.

### Names of 972800

• Cardinal: 972800 can be written as Nine hundred seventy-two thousand, eight hundred.

### Scientific notation

• Scientific notation: 9.728 × 105

### Factors of 972800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 26

### Divisors of 972800

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 2538900
• Sum of proper divisors (its aliquot sum) s(n): 1566100
• 972800 is an abundant number, because the sum of its proper divisors (1566100) is greater than itself. Its abundance is 593300

### Bases of 972800

• Binary: 111011011000000000002
• Base-36: KUM8

### Squares and roots of 972800

• 972800 squared (9728002) is 946339840000
• 972800 cubed (9728003) is 920599396352000000
• The square root of 972800 is 986.3062404751
• The cube root of 972800 is 99.0849863705

### Scales and comparisons

How big is 972800?
• 972,800 seconds is equal to 1 week, 4 days, 6 hours, 13 minutes, 20 seconds.
• To count from 1 to 972,800 would take you about four days!

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 972800 cubic inches would be around 8.3 feet tall.

### Recreational maths with 972800

• 972800 backwards is 008279
• The number of decimal digits it has is: 6
• The sum of 972800's digits is 26
• More coming soon!

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"Number 972800 - Facts about the integer". Numbermatics.com. 2021. Web. 29 November 2021.

APA style:
Numbermatics. (2021). Number 972800 - Facts about the integer. Retrieved 29 November 2021, from https://numbermatics.com/n/972800/

Chicago style:
Numbermatics. 2021. "Number 972800 - Facts about the integer". https://numbermatics.com/n/972800/

The information we have on file for 972800 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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