26688

26,688 is an even composite number composed of three prime numbers multiplied together.

What does the number 26688 look like?

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

26688 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 26688:

2⁶ × 3 × 139

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 139)

See below for interesting mathematical facts about the number 26688 from the Numbermatics database.

Names of 26688

Cardinal: 26688 can be written as Twenty-six thousand, six hundred eighty-eight.

Scientific notation

Scientific notation: 2.6688 × 10⁴

Factors of 26688

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 144

Divisors of 26688

Number of divisors d(n): 28
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1112 1668 2224 3336 4448 6672 8896 13344 26688
Sum of all divisors σ(n): 71120
Sum of proper divisors (its aliquot sum) s(n): 44432
26688 is an abundant number, because the sum of its proper divisors (44432) is greater than itself. Its abundance is 17744

Bases of 26688

Binary: 110100001000000₂
Hexadecimal: 0x6840
Base-36: KLC

Squares and roots of 26688

26688 squared (26688²) is 712249344
26688 cubed (26688³) is 19008510492672
The square root of 26688 is 163.3646228535
The cube root of 26688 is 29.8839964619

Scales and comparisons

How big is 26688?

26,688 seconds is equal to 7 hours, 24 minutes, 48 seconds.
To count from 1 to 26,688 would take you about seven 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 26688 cubic inches would be around 2.5 feet tall.

Recreational maths with 26688

26688 backwards is 88662
The number of decimal digits it has is: 5
The sum of 26688's digits is 30
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/26688/?utm_source=shared">Number 26688 - 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/26688/?utm_source=shared]Number 26688 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 26688 - Facts about the integer". Numbermatics.com. 2024. Web. 19 April 2024.

APA style:
Numbermatics. (2024). Number 26688 - Facts about the integer. Retrieved 19 April 2024, from https://numbermatics.com/n/26688/

Chicago style:
Numbermatics. 2024. "Number 26688 - Facts about the integer". https://numbermatics.com/n/26688/

The information we have on file for 26688 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 26688, math, Factors of 26688, curriculum, school, college, exams, university, Prime factorization of 26688, STEM, science, technology, engineering, physics, economics, calculator, twenty-six thousand, six hundred eighty-eight.