96800

96,800 is an even composite number composed of three prime numbers multiplied together.

What does the number 96800 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 54 divisors.

96800 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-four divisors.

Prime factorization of 96800:

25 × 52 × 112

(2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11)

See below for interesting mathematical facts about the number 96800 from the Numbermatics database.

Names of 96800

• Cardinal: 96800 can be written as Ninety-six thousand, eight hundred.

Scientific notation

• Scientific notation: 9.68 × 104

Factors of 96800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 18

Divisors of 96800

• Number of divisors d(n): 54
• Complete list of divisors:
• Sum of all divisors σ(n): 259749
• Sum of proper divisors (its aliquot sum) s(n): 162949
• 96800 is an abundant number, because the sum of its proper divisors (162949) is greater than itself. Its abundance is 66149

Bases of 96800

• Binary: 101111010001000002
• Base-36: 22OW

Squares and roots of 96800

• 96800 squared (968002) is 9370240000
• 96800 cubed (968003) is 907039232000000
• The square root of 96800 is 311.1269837221
• The cube root of 96800 is 45.9154084933

Scales and comparisons

How big is 96800?
• 96,800 seconds is equal to 2 hours, 53 minutes, 20 seconds.
• To count from 1 to 96,800 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 96800 cubic inches would be around 3.8 feet tall.

Recreational maths with 96800

• 96800 backwards is 00869
• The number of decimal digits it has is: 5
• The sum of 96800's digits is 23
• More coming soon!

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