27984

27,984 is an even composite number composed of four prime numbers multiplied together.

What does the number 27984 look like?

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

27984 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 27984:

2⁴ × 3 × 11 × 53

(2 × 2 × 2 × 2 × 3 × 11 × 53)

See below for interesting mathematical facts about the number 27984 from the Numbermatics database.

Names of 27984

Cardinal: 27984 can be written as Twenty-seven thousand, nine hundred eighty-four.

Scientific notation

Scientific notation: 2.7984 × 10⁴

Factors of 27984

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 69

Divisors of 27984

Number of divisors d(n): 40
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 212 264 318 424 528 583 636 848 1166 1272 1749 2332 2544 3498 4664 6996 9328 13992 27984
Sum of all divisors σ(n): 80352
Sum of proper divisors (its aliquot sum) s(n): 52368
27984 is an abundant number, because the sum of its proper divisors (52368) is greater than itself. Its abundance is 24384

Bases of 27984

Binary: 110110101010000₂
Hexadecimal: 0x6D50
Base-36: LLC

Squares and roots of 27984

27984 squared (27984²) is 783104256
27984 cubed (27984³) is 21914389499904
The square root of 27984 is 167.2841893305
The cube root of 27984 is 30.3601046377

Scales and comparisons

How big is 27984?

27,984 seconds is equal to 7 hours, 46 minutes, 24 seconds.
To count from 1 to 27,984 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 27984 cubic inches would be around 2.5 feet tall.

Recreational maths with 27984

27984 backwards is 48972
The number of decimal digits it has is: 5
The sum of 27984'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/27984/?utm_source=shared">Number 27984 - 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/27984/?utm_source=shared]Number 27984 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 27984 - Facts about the integer". Numbermatics.com. 2024. Web. 19 April 2024.

APA style:
Numbermatics. (2024). Number 27984 - Facts about the integer. Retrieved 19 April 2024, from https://numbermatics.com/n/27984/

Chicago style:
Numbermatics. 2024. "Number 27984 - Facts about the integer". https://numbermatics.com/n/27984/

The information we have on file for 27984 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 27984, math, Factors of 27984, curriculum, school, college, exams, university, Prime factorization of 27984, STEM, science, technology, engineering, physics, economics, calculator, twenty-seven thousand, nine hundred eighty-four.