123328

123,328 is an even composite number composed of three prime numbers multiplied together.

What does the number 123328 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

123328 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

Prime factorization of 123328:

2⁶ × 41 × 47

(2 × 2 × 2 × 2 × 2 × 2 × 41 × 47)

See below for interesting mathematical facts about the number 123328 from the Numbermatics database.

Names of 123328

Cardinal: 123328 can be written as One hundred twenty-three thousand, three hundred twenty-eight.

Scientific notation

Scientific notation: 1.23328 × 10⁵

Factors of 123328

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 90

Divisors of 123328

Number of divisors d(n): 28
Complete list of divisors:
1 2 4 8 16 32 41 47 64 82 94 164 188 328 376 656 752 1312 1504 1927 2624 3008 3854 7708 15416 30832 61664 123328
Sum of all divisors σ(n): 256032
Sum of proper divisors (its aliquot sum) s(n): 132704
123328 is an abundant number, because the sum of its proper divisors (132704) is greater than itself. Its abundance is 9376

Bases of 123328

Binary: 11110000111000000₂
Hexadecimal: 0x1E1C0
Base-36: 2N5S

Squares and roots of 123328

123328 squared (123328²) is 15209795584
123328 cubed (123328³) is 1875793669783552
The square root of 123328 is 351.1808650823
The cube root of 123328 is 49.7760652283

Scales and comparisons

How big is 123328?

123,328 seconds is equal to 1 day, 10 hours, 15 minutes, 28 seconds.
To count from 1 to 123,328 would take you about ten 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 123328 cubic inches would be around 4.1 feet tall.

Recreational maths with 123328

123328 backwards is 823321
The number of decimal digits it has is: 6
The sum of 123328's digits is 19
More coming soon!

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The information we have on file for 123328 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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