# 97968

## 97,968 is an even composite number composed of four prime numbers multiplied together.

What does the number 97968 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

97968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

## Prime factorization of 97968:

### 24 × 3 × 13 × 157

(2 × 2 × 2 × 2 × 3 × 13 × 157)

See below for interesting mathematical facts about the number 97968 from the Numbermatics database.

### Names of 97968

• Cardinal: 97968 can be written as Ninety-seven thousand, nine hundred sixty-eight.

### Scientific notation

• Scientific notation: 9.7968 × 104

### Factors of 97968

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 175

### Divisors of 97968

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 274288
• Sum of proper divisors (its aliquot sum) s(n): 176320
• 97968 is an abundant number, because the sum of its proper divisors (176320) is greater than itself. Its abundance is 78352

### Bases of 97968

• Binary: 101111110101100002
• Base-36: 23LC

### Squares and roots of 97968

• 97968 squared (979682) is 9597729024
• 97968 cubed (979683) is 940270317023232
• The square root of 97968 is 312.9984025519
• The cube root of 97968 is 46.0993442125

### Scales and comparisons

How big is 97968?
• 97,968 seconds is equal to 1 day, 3 hours, 12 minutes, 48 seconds.
• To count from 1 to 97,968 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 97968 cubic inches would be around 3.8 feet tall.

### Recreational maths with 97968

• 97968 backwards is 86979
• 97968 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 97968's digits is 39
• More coming soon!

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"Number 97968 - Facts about the integer". Numbermatics.com. 2023. Web. 21 March 2023.

APA style:
Numbermatics. (2023). Number 97968 - Facts about the integer. Retrieved 21 March 2023, from https://numbermatics.com/n/97968/

Chicago style:
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The information we have on file for 97968 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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