64064

64,064 is an even composite number composed of four prime numbers multiplied together.

What does the number 64064 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 56 divisors.

64064 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of fifty-six divisors.

Prime factorization of 64064:

2⁶ × 7 × 11 × 13

(2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 13)

See below for interesting mathematical facts about the number 64064 from the Numbermatics database.

Names of 64064

Cardinal: 64064 can be written as Sixty-four thousand and sixty-four.

Scientific notation

Scientific notation: 6.4064 × 10⁴

Factors of 64064

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 9
Sum of prime factors: 33

Divisors of 64064

Number of divisors d(n): 56
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 4928 5824 8008 9152 16016 32032 64064
Sum of all divisors σ(n): 170688
Sum of proper divisors (its aliquot sum) s(n): 106624
64064 is an abundant number, because the sum of its proper divisors (106624) is greater than itself. Its abundance is 42560

Bases of 64064

Binary: 1111101001000000₂
Hexadecimal: 0xFA40
Base-36: 1DFK

Squares and roots of 64064

64064 squared (64064²) is 4104196096
64064 cubed (64064³) is 262931218694144
The square root of 64064 is 253.1086723129
The cube root of 64064 is 40.0133288915

Scales and comparisons

How big is 64064?

64,064 seconds is equal to 17 hours, 47 minutes, 44 seconds.
To count from 1 to 64,064 would take you about seventeen 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 64064 cubic inches would be around 3.3 feet tall.

Recreational maths with 64064

64064 backwards is 46046
The number of decimal digits it has is: 5
The sum of 64064's digits is 20
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/64064/?utm_source=shared">Number 64064 - 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/64064/?utm_source=shared]Number 64064 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 64064 - Facts about the integer". Numbermatics.com. 2024. Web. 20 April 2024.

APA style:
Numbermatics. (2024). Number 64064 - Facts about the integer. Retrieved 20 April 2024, from https://numbermatics.com/n/64064/

Chicago style:
Numbermatics. 2024. "Number 64064 - Facts about the integer". https://numbermatics.com/n/64064/

The information we have on file for 64064 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 64064, math, Factors of 64064, curriculum, school, college, exams, university, Prime factorization of 64064, STEM, science, technology, engineering, physics, economics, calculator, sixty-four thousand and sixty-four.