23280

23,280 is an even composite number composed of four prime numbers multiplied together.

What does the number 23280 look like?

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

23280 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 23280:

2⁴ × 3 × 5 × 97

(2 × 2 × 2 × 2 × 3 × 5 × 97)

See below for interesting mathematical facts about the number 23280 from the Numbermatics database.

Names of 23280

Cardinal: 23280 can be written as Twenty-three thousand, two hundred eighty.

Scientific notation

Scientific notation: 2.328 × 10⁴

Factors of 23280

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 107

Divisors of 23280

Number of divisors d(n): 40
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1940 2328 2910 3880 4656 5820 7760 11640 23280
Sum of all divisors σ(n): 72912
Sum of proper divisors (its aliquot sum) s(n): 49632
23280 is an abundant number, because the sum of its proper divisors (49632) is greater than itself. Its abundance is 26352

Bases of 23280

Binary: 101101011110000₂
Hexadecimal: 0x5AF0
Base-36: HYO

Squares and roots of 23280

23280 squared (23280²) is 541958400
23280 cubed (23280³) is 12616791552000
The square root of 23280 is 152.5778489821
The cube root of 23280 is 28.5536079349

Scales and comparisons

How big is 23280?

23,280 seconds is equal to 6 hours, 28 minutes.
To count from 1 to 23,280 would take you about six 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 23280 cubic inches would be around 2.4 feet tall.

Recreational maths with 23280

23280 backwards is 08232
23280 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 23280's digits is 15
More coming soon!

Copy this link to share with anyone:

Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

<a href="https://numbermatics.com/n/23280/?utm_source=shared">Number 23280 - Facts about the integer</a>

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

[url=https://numbermatics.com/n/23280/?utm_source=shared]Number 23280 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 23280 - Facts about the integer". Numbermatics.com. 2024. Web. 19 April 2024.

APA style:
Numbermatics. (2024). Number 23280 - Facts about the integer. Retrieved 19 April 2024, from https://numbermatics.com/n/23280/

Chicago style:
Numbermatics. 2024. "Number 23280 - Facts about the integer". https://numbermatics.com/n/23280/

The information we have on file for 23280 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 23280, math, Factors of 23280, curriculum, school, college, exams, university, Prime factorization of 23280, STEM, science, technology, engineering, physics, economics, calculator, twenty-three thousand, two hundred eighty.