103248

103,248 is an even composite number composed of three prime numbers multiplied together.

What does the number 103248 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 40 divisors.

103248 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 103248:

2⁴ × 3³ × 239

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 239)

See below for interesting mathematical facts about the number 103248 from the Numbermatics database.

Names of 103248

Cardinal: 103248 can be written as One hundred three thousand, two hundred forty-eight.

Scientific notation

Scientific notation: 1.03248 × 10⁵

Factors of 103248

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 244

Divisors of 103248

Number of divisors d(n): 40
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 239 432 478 717 956 1434 1912 2151 2868 3824 4302 5736 6453 8604 11472 12906 17208 25812 34416 51624 103248
Sum of all divisors σ(n): 297600
Sum of proper divisors (its aliquot sum) s(n): 194352
103248 is an abundant number, because the sum of its proper divisors (194352) is greater than itself. Its abundance is 91104

Bases of 103248

Binary: 11001001101010000₂
Hexadecimal: 0x19350
Base-36: 27O0

Squares and roots of 103248

103248 squared (103248²) is 10660149504
103248 cubed (103248³) is 1100639115988992
The square root of 103248 is 321.3222681359
The cube root of 103248 is 46.9130730677

Scales and comparisons

How big is 103248?

103,248 seconds is equal to 1 day, 4 hours, 40 minutes, 48 seconds.
To count from 1 to 103,248 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 103248 cubic inches would be around 3.9 feet tall.

Recreational maths with 103248

103248 backwards is 842301
103248 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 103248's digits is 18
More coming soon!

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The information we have on file for 103248 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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