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:
1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 157 208 312 314 471 624 628 942 1256 1884 2041 2512 3768 4082 6123 7536 8164 12246 16328 24492 32656 48984 97968
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
Hexadecimal: 0x17EB0
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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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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