120393

120,393 is an odd composite number composed of three prime numbers multiplied together.

What does the number 120393 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

120393 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 120393:

3³ × 7³ × 13

(3 × 3 × 3 × 7 × 7 × 7 × 13)

See below for interesting mathematical facts about the number 120393 from the Numbermatics database.

Names of 120393

Cardinal: 120393 can be written as One hundred twenty thousand, three hundred ninety-three.

Scientific notation

Scientific notation: 1.20393 × 10⁵

Factors of 120393

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 23

Divisors of 120393

Number of divisors d(n): 32
Complete list of divisors:
1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 343 351 441 637 819 1029 1323 1911 2457 3087 4459 5733 9261 13377 17199 40131 120393
Sum of all divisors σ(n): 224000
Sum of proper divisors (its aliquot sum) s(n): 103607
120393 is a deficient number, because the sum of its proper divisors (103607) is less than itself. Its deficiency is 16786

Bases of 120393

Binary: 11101011001001001₂
Hexadecimal: 0x1D649
Base-36: 2KW9

Squares and roots of 120393

120393 squared (120393²) is 14494474449
120393 cubed (120393³) is 1745033262338457
The square root of 120393 is 346.9769444791
The cube root of 120393 is 49.3780284421

Scales and comparisons

How big is 120393?

120,393 seconds is equal to 1 day, 9 hours, 26 minutes, 33 seconds.
To count from 1 to 120,393 would take you about nine 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 120393 cubic inches would be around 4.1 feet tall.

Recreational maths with 120393

120393 backwards is 393021
The number of decimal digits it has is: 6
The sum of 120393's digits is 18
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/120393/?utm_source=shared">Number 120393 - 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/120393/?utm_source=shared]Number 120393 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 120393 - Facts about the integer". Numbermatics.com. 2024. Web. 25 April 2024.

APA style:
Numbermatics. (2024). Number 120393 - Facts about the integer. Retrieved 25 April 2024, from https://numbermatics.com/n/120393/

Chicago style:
Numbermatics. 2024. "Number 120393 - Facts about the integer". https://numbermatics.com/n/120393/

The information we have on file for 120393 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 120393, math, Factors of 120393, curriculum, school, college, exams, university, Prime factorization of 120393, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty thousand, three hundred ninety-three.