10208

10,208 is an even composite number composed of three prime numbers multiplied together.

What does the number 10208 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

10208 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 10208:

2⁵ × 11 × 29

(2 × 2 × 2 × 2 × 2 × 11 × 29)

See below for interesting mathematical facts about the number 10208 from the Numbermatics database.

Names of 10208

Cardinal: 10208 can be written as Ten thousand, two hundred eight.

Scientific notation

Scientific notation: 1.0208 × 10⁴

Factors of 10208

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 42

Divisors of 10208

Number of divisors d(n): 24
Complete list of divisors:
1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2552 5104 10208
Sum of all divisors σ(n): 22680
Sum of proper divisors (its aliquot sum) s(n): 12472
10208 is an abundant number, because the sum of its proper divisors (12472) is greater than itself. Its abundance is 2264

Bases of 10208

Binary: 10011111100000₂
Hexadecimal: 0x27E0
Base-36: 7VK

Squares and roots of 10208

10208 squared (10208²) is 104203264
10208 cubed (10208³) is 1063706918912
The square root of 10208 is 101.0346475225
The cube root of 10208 is 21.6926971821

Scales and comparisons

How big is 10208?

10,208 seconds is equal to 2 hours, 50 minutes, 8 seconds.
To count from 1 to 10,208 would take you about two 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 10208 cubic inches would be around 1.8 feet tall.

Recreational maths with 10208

10208 backwards is 80201
10208 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 10208's digits is 11
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/10208/?utm_source=shared">Number 10208 - 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/10208/?utm_source=shared]Number 10208 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 10208 - Facts about the integer". Numbermatics.com. 2024. Web. 19 April 2024.

APA style:
Numbermatics. (2024). Number 10208 - Facts about the integer. Retrieved 19 April 2024, from https://numbermatics.com/n/10208/

Chicago style:
Numbermatics. 2024. "Number 10208 - Facts about the integer". https://numbermatics.com/n/10208/

The information we have on file for 10208 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 10208, math, Factors of 10208, curriculum, school, college, exams, university, Prime factorization of 10208, STEM, science, technology, engineering, physics, economics, calculator, ten thousand, two hundred eight.