961968

961,968 is an even composite number composed of four prime numbers multiplied together.

What does the number 961968 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 60 divisors.

961968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty divisors.

Prime factorization of 961968:

2⁴ × 3 × 7² × 409

(2 × 2 × 2 × 2 × 3 × 7 × 7 × 409)

See below for interesting mathematical facts about the number 961968 from the Numbermatics database.

Names of 961968

Cardinal: 961968 can be written as Nine hundred sixty-one thousand, nine hundred sixty-eight.

Scientific notation

Scientific notation: 9.61968 × 10⁵

Factors of 961968

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 421

Divisors of 961968

Number of divisors d(n): 60
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 409 588 784 818 1176 1227 1636 2352 2454 2863 3272 4908 5726 6544 8589 9816 11452 17178 19632 20041 22904 34356 40082 45808 60123 68712 80164 120246 137424 160328 240492 320656 480984 961968
Sum of all divisors σ(n): 2897880
Sum of proper divisors (its aliquot sum) s(n): 1935912
961968 is an abundant number, because the sum of its proper divisors (1935912) is greater than itself. Its abundance is 973944

Bases of 961968

Binary: 11101010110110110000₂
Hexadecimal: 0xEADB0
Base-36: KM9C

Squares and roots of 961968

961968 squared (961968²) is 925382433024
961968 cubed (961968³) is 890188288331231232
The square root of 961968 is 980.7996737355
The cube root of 961968 is 98.7158467589

Scales and comparisons

How big is 961968?

961,968 seconds is equal to 1 week, 4 days, 3 hours, 12 minutes, 48 seconds.
To count from 1 to 961,968 would take you about four days!

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 961968 cubic inches would be around 8.2 feet tall.

Recreational maths with 961968

961968 backwards is 869169
The number of decimal digits it has is: 6
The sum of 961968's digits is 39
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/961968/?utm_source=shared">Number 961968 - 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/961968/?utm_source=shared]Number 961968 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 961968 - Facts about the integer". Numbermatics.com. 2024. Web. 19 April 2024.

APA style:
Numbermatics. (2024). Number 961968 - Facts about the integer. Retrieved 19 April 2024, from https://numbermatics.com/n/961968/

Chicago style:
Numbermatics. 2024. "Number 961968 - Facts about the integer". https://numbermatics.com/n/961968/

The information we have on file for 961968 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 961968, math, Factors of 961968, curriculum, school, college, exams, university, Prime factorization of 961968, STEM, science, technology, engineering, physics, economics, calculator, nine hundred sixty-one thousand, nine hundred sixty-eight.