820864

820,864 is an even composite number composed of three prime numbers multiplied together.

What does the number 820864 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

820864 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 820864:

2⁷ × 11² × 53

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 53)

See below for interesting mathematical facts about the number 820864 from the Numbermatics database.

Names of 820864

Cardinal: 820864 can be written as Eight hundred twenty thousand, eight hundred sixty-four.

Scientific notation

Scientific notation: 8.20864 × 10⁵

Factors of 820864

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 66

Divisors of 820864

Number of divisors d(n): 48
Complete list of divisors:
1 2 4 8 11 16 22 32 44 53 64 88 106 121 128 176 212 242 352 424 484 583 704 848 968 1166 1408 1696 1936 2332 3392 3872 4664 6413 6784 7744 9328 12826 15488 18656 25652 37312 51304 74624 102608 205216 410432 820864
Sum of all divisors σ(n): 1831410
Sum of proper divisors (its aliquot sum) s(n): 1010546
820864 is an abundant number, because the sum of its proper divisors (1010546) is greater than itself. Its abundance is 189682

Bases of 820864

Binary: 11001000011010000000₂
Hexadecimal: 0xC8680
Base-36: HLDS

Squares and roots of 820864

820864 squared (820864²) is 673817706496
820864 cubed (820864³) is 553112697825132544
The square root of 820864 is 906.0154524069
The cube root of 820864 is 93.6318784931

Scales and comparisons

How big is 820864?

820,864 seconds is equal to 1 week, 2 days, 12 hours, 1 minute, 4 seconds.
To count from 1 to 820,864 would take you about two 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 820864 cubic inches would be around 7.8 feet tall.

Recreational maths with 820864

820864 backwards is 468028
The number of decimal digits it has is: 6
The sum of 820864's digits is 28
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/820864/?utm_source=shared">Number 820864 - 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/820864/?utm_source=shared]Number 820864 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 820864 - Facts about the integer". Numbermatics.com. 2024. Web. 25 April 2024.

APA style:
Numbermatics. (2024). Number 820864 - Facts about the integer. Retrieved 25 April 2024, from https://numbermatics.com/n/820864/

Chicago style:
Numbermatics. 2024. "Number 820864 - Facts about the integer". https://numbermatics.com/n/820864/

The information we have on file for 820864 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 820864, math, Factors of 820864, curriculum, school, college, exams, university, Prime factorization of 820864, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty thousand, eight hundred sixty-four.