98112

98,112 is an even composite number composed of four prime numbers multiplied together.

What does the number 98112 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 56 divisors.

98112 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of fifty-six divisors.

Prime factorization of 98112:

2⁶ × 3 × 7 × 73

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 73)

See below for interesting mathematical facts about the number 98112 from the Numbermatics database.

Names of 98112

Cardinal: 98112 can be written as Ninety-eight thousand, one hundred twelve.

Scientific notation

Scientific notation: 9.8112 × 10⁴

Factors of 98112

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 9
Sum of prime factors: 85

Divisors of 98112

Number of divisors d(n): 56
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 146 168 192 219 224 292 336 438 448 511 584 672 876 1022 1168 1344 1533 1752 2044 2336 3066 3504 4088 4672 6132 7008 8176 12264 14016 16352 24528 32704 49056 98112
Sum of all divisors σ(n): 300736
Sum of proper divisors (its aliquot sum) s(n): 202624
98112 is an abundant number, because the sum of its proper divisors (202624) is greater than itself. Its abundance is 104512

Bases of 98112

Binary: 10111111101000000₂
Hexadecimal: 0x17F40
Base-36: 23PC

Squares and roots of 98112

98112 squared (98112²) is 9625964544
98112 cubed (98112³) is 944422633340928
The square root of 98112 is 313.2283512073
The cube root of 98112 is 46.1219198007

Scales and comparisons

How big is 98112?

98,112 seconds is equal to 1 day, 3 hours, 15 minutes, 12 seconds.
To count from 1 to 98,112 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 98112 cubic inches would be around 3.8 feet tall.

Recreational maths with 98112

98112 backwards is 21189
98112 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 98112's digits is 21
More coming soon!

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The information we have on file for 98112 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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