103728

103,728 is an even composite number composed of three prime numbers multiplied together.

What does the number 103728 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

103728 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

Prime factorization of 103728:

2⁴ × 3 × 2161

(2 × 2 × 2 × 2 × 3 × 2161)

See below for interesting mathematical facts about the number 103728 from the Numbermatics database.

Names of 103728

Cardinal: 103728 can be written as One hundred three thousand, seven hundred twenty-eight.

Scientific notation

Scientific notation: 1.03728 × 10⁵

Factors of 103728

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 6
Sum of prime factors: 2166

Divisors of 103728

Number of divisors d(n): 20
Complete list of divisors:
1 2 3 4 6 8 12 16 24 48 2161 4322 6483 8644 12966 17288 25932 34576 51864 103728
Sum of all divisors σ(n): 268088
Sum of proper divisors (its aliquot sum) s(n): 164360
103728 is an abundant number, because the sum of its proper divisors (164360) is greater than itself. Its abundance is 60632

Bases of 103728

Binary: 11001010100110000₂
Hexadecimal: 0x19530
Base-36: 281C

Squares and roots of 103728

103728 squared (103728²) is 10759497984
103728 cubed (103728³) is 1116061206884352
The square root of 103728 is 322.0683157345
The cube root of 103728 is 46.9856603305

Scales and comparisons

How big is 103728?

103,728 seconds is equal to 1 day, 4 hours, 48 minutes, 48 seconds.
To count from 1 to 103,728 would take you about four 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 103728 cubic inches would be around 3.9 feet tall.

Recreational maths with 103728

103728 backwards is 827301
The number of decimal digits it has is: 6
The sum of 103728's digits is 21
More coming soon!

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The information we have on file for 103728 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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