97152

97,152 is an even composite number composed of four prime numbers multiplied together.

What does the number 97152 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 64 divisors.

97152 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty-four divisors.

Prime factorization of 97152:

27 × 3 × 11 × 23

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 23)

See below for interesting mathematical facts about the number 97152 from the Numbermatics database.

Names of 97152

• Cardinal: 97152 can be written as Ninety-seven thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 9.7152 × 104

Factors of 97152

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 39

Divisors of 97152

• Number of divisors d(n): 64
• Complete list of divisors:
• Sum of all divisors σ(n): 293760
• Sum of proper divisors (its aliquot sum) s(n): 196608
• 97152 is an abundant number, because the sum of its proper divisors (196608) is greater than itself. Its abundance is 99456

Bases of 97152

• Binary: 101111011100000002
• Base-36: 22YO

Squares and roots of 97152

• 97152 squared (971522) is 9438511104
• 97152 cubed (971523) is 916970230775808
• The square root of 97152 is 311.6921558205
• The cube root of 97152 is 45.9709962093

Scales and comparisons

How big is 97152?
• 97,152 seconds is equal to 2 hours, 59 minutes, 12 seconds.
• To count from 1 to 97,152 would take you about two 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 97152 cubic inches would be around 3.8 feet tall.

Recreational maths with 97152

• 97152 backwards is 25179
• 97152 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 97152's digits is 24
• More coming soon!

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