13681920
13,681,920 is an even composite number composed of five prime numbers multiplied together.
13681920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 13681920:
28 × 3 × 5 × 7 × 509
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 509)See below for interesting mathematical facts about the number 13681920 from the Numbermatics database.
Names of 13681920
- Cardinal: 13681920 can be written as Thirteen million, six hundred eighty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.368192 × 107
Factors of 13681920
Divisors of 13681920
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 509 560 640 672 768 840 896 960 1018 1120 1280 1344 1527 1680 1792 1920 2036 2240 2545 2688 3054 3360 3563 3840 4072 4480 5090 5376 6108 6720 7126 7635 8144 8960 10180 10689 12216 13440 14252 15270 16288 17815 20360 21378 24432 26880 28504 30540 32576 35630 40720 42756 48864 53445 57008 61080 65152 71260 81440 85512 97728 106890 114016 122160 130304 142520 162880 171024 195456 213780 228032 244320 285040 325760 342048 390912 427560 456064 488640 570080 651520 684096 855120 912128 977280 1140160 1368192 1710240 1954560 2280320 2736384 3420480 4560640 6840960 13681920
- Sum of all divisors σ(n): 50037120
- Sum of proper divisors (its aliquot sum) s(n): 36355200
- 13681920 is an abundant number, because the sum of its proper divisors (36355200) is greater than itself. Its abundance is 22673280
Bases of 13681920
- Binary: 1101000011000101000000002
- Hexadecimal: 0xD0C500
- Base-36: 8591C
Squares and roots of 13681920
- 13681920 squared (136819202) is 187194934886400
- 13681920 cubed (136819203) is 2561186123520933888000
-
The
square root of 13681920 is 3698.9079469487 -
The
cube root of 13681920 is 239.1749447103
Scales and comparisons
How big is 13681920?- 13,681,920 seconds is equal to 22 weeks, 4 days, 8 hours, 32 minutes.
-
To count from 1 to 13,681,920 would take you about thirty-three weeks!
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 13681920 cubic inches would be around 19.9 feet tall.
Recreational maths with 13681920
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 13681920 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 13681920 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/13681920/
Chicago style:
Numbermatics. 2024. "Number 13681920 - Facts about the integer". https://numbermatics.com/n/13681920/
The information we have on file for 13681920 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 13681920, math, Factors of 13681920, curriculum, school, college, exams, university, Prime factorization of 13681920, STEM, science, technology, engineering, physics, economics, calculator, thirteen million, six hundred eighty-one thousand, nine hundred twenty.