123264

123,264 is an even composite number composed of three prime numbers multiplied together.

What does the number 123264 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

123264 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 123264:

2⁷ × 3² × 107

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 107)

See below for interesting mathematical facts about the number 123264 from the Numbermatics database.

Names of 123264

Cardinal: 123264 can be written as One hundred twenty-three thousand, two hundred sixty-four.

Scientific notation

Scientific notation: 1.23264 × 10⁵

Factors of 123264

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 112

Divisors of 123264

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 288 321 384 428 576 642 856 963 1152 1284 1712 1926 2568 3424 3852 5136 6848 7704 10272 13696 15408 20544 30816 41088 61632 123264
Sum of all divisors σ(n): 358020
Sum of proper divisors (its aliquot sum) s(n): 234756
123264 is an abundant number, because the sum of its proper divisors (234756) is greater than itself. Its abundance is 111492

Bases of 123264

Binary: 11110000110000000₂
Hexadecimal: 0x1E180
Base-36: 2N40

Squares and roots of 123264

123264 squared (123264²) is 15194013696
123264 cubed (123264³) is 1872874904223744
The square root of 123264 is 351.0897321197
The cube root of 123264 is 49.7674534523

Scales and comparisons

How big is 123264?

123,264 seconds is equal to 1 day, 10 hours, 14 minutes, 24 seconds.
To count from 1 to 123,264 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 123264 cubic inches would be around 4.1 feet tall.

Recreational maths with 123264

123264 backwards is 462321
123264 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 123264's digits is 18
More coming soon!

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The information we have on file for 123264 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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