98688

98,688 is an even composite number composed of three prime numbers multiplied together.

What does the number 98688 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

98688 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 98688:

2⁷ × 3 × 257

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 257)

See below for interesting mathematical facts about the number 98688 from the Numbermatics database.

Names of 98688

Cardinal: 98688 can be written as Ninety-eight thousand, six hundred eighty-eight.

Scientific notation

Scientific notation: 9.8688 × 10⁴

Factors of 98688

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 262

Divisors of 98688

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 257 384 514 771 1028 1542 2056 3084 4112 6168 8224 12336 16448 24672 32896 49344 98688
Sum of all divisors σ(n): 263160
Sum of proper divisors (its aliquot sum) s(n): 164472
98688 is an abundant number, because the sum of its proper divisors (164472) is greater than itself. Its abundance is 65784

Bases of 98688

Binary: 11000000110000000₂
Hexadecimal: 0x18180
Base-36: 245C

Squares and roots of 98688

98688 squared (98688²) is 9739321344
98688 cubed (98688³) is 961154144796672
The square root of 98688 is 314.1464626571
The cube root of 98688 is 46.2120019043

Scales and comparisons

How big is 98688?

98,688 seconds is equal to 1 day, 3 hours, 24 minutes, 48 seconds.
To count from 1 to 98,688 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 98688 cubic inches would be around 3.9 feet tall.

Recreational maths with 98688

98688 backwards is 88689
The number of decimal digits it has is: 5
The sum of 98688's digits is 39
More coming soon!

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The information we have on file for 98688 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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