106948288

106,948,288 is an even composite number composed of three prime numbers multiplied together.

What does the number 106948288 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 42 divisors.

106948288 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-two divisors.

Prime factorization of 106948288:

2⁶ × 29² × 1987

(2 × 2 × 2 × 2 × 2 × 2 × 29 × 29 × 1987)

See below for interesting mathematical facts about the number 106948288 from the Numbermatics database.

Names of 106948288

Cardinal: 106948288 can be written as One hundred six million, nine hundred forty-eight thousand, two hundred eighty-eight.

Scientific notation

Scientific notation: 1.06948288 × 10⁸

Factors of 106948288

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 2018

Divisors of 106948288

Number of divisors d(n): 42
Complete list of divisors:
1 2 4 8 16 29 32 58 64 116 232 464 841 928 1682 1856 1987 3364 3974 6728 7948 13456 15896 26912 31792 53824 57623 63584 115246 127168 230492 460984 921968 1671067 1843936 3342134 3687872 6684268 13368536 26737072 53474144 106948288
Sum of all divisors σ(n): 219906596
Sum of proper divisors (its aliquot sum) s(n): 112958308
106948288 is an abundant number, because the sum of its proper divisors (112958308) is greater than itself. Its abundance is 6010020

Bases of 106948288

Binary: 110010111111110011011000000₂
Hexadecimal: 0x65FE6C0
Base-36: 1RO9TS

Squares and roots of 106948288

106948288 squared (106948288²) is 11437936306130944
106948288 cubed (106948288³) is 1223267706193748364623872
The square root of 106948288 is 10341.5805368429
The cube root of 106948288 is 474.6694475843

Scales and comparisons

How big is 106948288?

106,948,288 seconds is equal to 3 years, 20 weeks, 5 days, 19 hours, 51 minutes, 28 seconds.
To count from 1 to 106,948,288 would take you about five years!

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 106948288 cubic inches would be around 39.6 feet tall.

Recreational maths with 106948288

106948288 backwards is 882849601
The number of decimal digits it has is: 9
The sum of 106948288's digits is 46
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/106948288/?utm_source=shared">Number 106948288 - 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/106948288/?utm_source=shared]Number 106948288 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 106948288 - Facts about the integer". Numbermatics.com. 2024. Web. 24 April 2024.

APA style:
Numbermatics. (2024). Number 106948288 - Facts about the integer. Retrieved 24 April 2024, from https://numbermatics.com/n/106948288/

Chicago style:
Numbermatics. 2024. "Number 106948288 - Facts about the integer". https://numbermatics.com/n/106948288/

The information we have on file for 106948288 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 106948288, math, Factors of 106948288, curriculum, school, college, exams, university, Prime factorization of 106948288, STEM, science, technology, engineering, physics, economics, calculator, one hundred six million, nine hundred forty-eight thousand, two hundred eighty-eight.