138240
138,240 is an even composite number composed of three prime numbers multiplied together.
What does the number 138240 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 88 divisors.
138240 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighty-eight divisors.
Prime factorization of 138240:
210 × 33 × 5
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5)See below for interesting mathematical facts about the number 138240 from the Numbermatics database.
Names of 138240
- Cardinal: 138240 can be written as One hundred thirty-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3824 × 105
Factors of 138240
Divisors of 138240
- Number of divisors d(n): 88
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1024 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3072 3456 3840 4320 4608 5120 5760 6912 7680 8640 9216 11520 13824 15360 17280 23040 27648 34560 46080 69120 138240
- Sum of all divisors σ(n): 491280
- Sum of proper divisors (its aliquot sum) s(n): 353040
- 138240 is an abundant number, because the sum of its proper divisors (353040) is greater than itself. Its abundance is 214800
Bases of 138240
- Binary: 1000011100000000002
- Hexadecimal: 0x21C00
- Base-36: 2YO0
Squares and roots of 138240
- 138240 squared (1382402) is 19110297600
- 138240 cubed (1382403) is 2641807540224000
-
The
square root of 138240 is 371.8064012359 -
The
cube root of 138240 is 51.7064325609
Scales and comparisons
How big is 138240?- 138,240 seconds is equal to 1 day, 14 hours, 24 minutes.
-
To count from 1 to 138,240 would take you about fourteen 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 138240 cubic inches would be around 4.3 feet tall.
Recreational maths with 138240
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138240 - Facts about the integer". Numbermatics.com. 2025. Web. 16 March 2025.
APA style:
Numbermatics. (2025). Number 138240 - Facts about the integer. Retrieved 16 March 2025, from https://numbermatics.com/n/138240/
Chicago style:
Numbermatics. 2025. "Number 138240 - Facts about the integer". https://numbermatics.com/n/138240/
The information we have on file for 138240 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 138240, math, Factors of 138240, curriculum, school, college, exams, university, Prime factorization of 138240, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight thousand, two hundred forty.