153264

153,264 is an even composite number composed of four prime numbers multiplied together.

What does the number 153264 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

153264 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 153264:

2⁴ × 3 × 31 × 103

(2 × 2 × 2 × 2 × 3 × 31 × 103)

See below for interesting mathematical facts about the number 153264 from the Numbermatics database.

Names of 153264

Cardinal: 153264 can be written as One hundred fifty-three thousand, two hundred sixty-four.

Scientific notation

Scientific notation: 1.53264 × 10⁵

Factors of 153264

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 139

Divisors of 153264

Number of divisors d(n): 40
Complete list of divisors:
1 2 3 4 6 8 12 16 24 31 48 62 93 103 124 186 206 248 309 372 412 496 618 744 824 1236 1488 1648 2472 3193 4944 6386 9579 12772 19158 25544 38316 51088 76632 153264
Sum of all divisors σ(n): 412672
Sum of proper divisors (its aliquot sum) s(n): 259408
153264 is an abundant number, because the sum of its proper divisors (259408) is greater than itself. Its abundance is 106144

Bases of 153264

Binary: 100101011010110000₂
Hexadecimal: 0x256B0
Base-36: 3A9C

Squares and roots of 153264

153264 squared (153264²) is 23489853696
153264 cubed (153264³) is 3600148936863744
The square root of 153264 is 391.4894634597
The cube root of 153264 is 53.5155572425

Scales and comparisons

How big is 153264?

153,264 seconds is equal to 1 day, 18 hours, 34 minutes, 24 seconds.
To count from 1 to 153,264 would take you about eighteen 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 153264 cubic inches would be around 4.5 feet tall.

Recreational maths with 153264

153264 backwards is 462351
The number of decimal digits it has is: 6
The sum of 153264's digits is 21
More coming soon!

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The information we have on file for 153264 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!

Keywords: Divisors of 153264, math, Factors of 153264, curriculum, school, college, exams, university, Prime factorization of 153264, STEM, science, technology, engineering, physics, economics, calculator, one hundred fifty-three thousand, two hundred sixty-four.