13819680
13,819,680 is an even composite number composed of five prime numbers multiplied together.
13819680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 13819680:
25 × 33 × 5 × 7 × 457
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 457)See below for interesting mathematical facts about the number 13819680 from the Numbermatics database.
Names of 13819680
- Cardinal: 13819680 can be written as Thirteen million, eight hundred nineteen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.381968 × 107
Factors of 13819680
Divisors of 13819680
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 96 105 108 112 120 126 135 140 144 160 168 180 189 210 216 224 240 252 270 280 288 315 336 360 378 420 432 457 480 504 540 560 630 672 720 756 840 864 914 945 1008 1080 1120 1260 1371 1440 1512 1680 1828 1890 2016 2160 2285 2520 2742 3024 3199 3360 3656 3780 4113 4320 4570 5040 5484 6048 6398 6855 7312 7560 8226 9140 9597 10080 10968 12339 12796 13710 14624 15120 15995 16452 18280 19194 20565 21936 24678 25592 27420 28791 30240 31990 32904 36560 38388 41130 43872 47985 49356 51184 54840 57582 61695 63980 65808 73120 76776 82260 86373 95970 98712 102368 109680 115164 123390 127960 131616 143955 153552 164520 172746 191940 197424 219360 230328 246780 255920 287910 307104 329040 345492 383880 394848 431865 460656 493560 511840 575820 658080 690984 767760 863730 921312 987120 1151640 1381968 1535520 1727460 1974240 2303280 2763936 3454920 4606560 6909840 13819680
- Sum of all divisors σ(n): 55399680
- Sum of proper divisors (its aliquot sum) s(n): 41580000
- 13819680 is an abundant number, because the sum of its proper divisors (41580000) is greater than itself. Its abundance is 27760320
Bases of 13819680
- Binary: 1101001011011111001000002
- Hexadecimal: 0xD2DF20
- Base-36: 887C0
Squares and roots of 13819680
- 13819680 squared (138196802) is 190983555302400
- 13819680 cubed (138196803) is 2639331619541471232000
-
The
square root of 13819680 is 3717.4830194633 -
The
cube root of 13819680 is 239.9749973953
Scales and comparisons
How big is 13819680?- 13,819,680 seconds is equal to 22 weeks, 5 days, 22 hours, 48 minutes.
-
To count from 1 to 13,819,680 would take you about thirty-four 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 13819680 cubic inches would be around 20 feet tall.
Recreational maths with 13819680
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 13819680 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
APA style:
Numbermatics. (2024). Number 13819680 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/13819680/
Chicago style:
Numbermatics. 2024. "Number 13819680 - Facts about the integer". https://numbermatics.com/n/13819680/
The information we have on file for 13819680 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 13819680, math, Factors of 13819680, curriculum, school, college, exams, university, Prime factorization of 13819680, STEM, science, technology, engineering, physics, economics, calculator, thirteen million, eight hundred nineteen thousand, six hundred eighty.