13838400
13,838,400 is an even composite number composed of four prime numbers multiplied together.
13838400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eighty-nine divisors.
Prime factorization of 13838400:
26 × 32 × 52 × 312
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 31)See below for interesting mathematical facts about the number 13838400 from the Numbermatics database.
Names of 13838400
- Cardinal: 13838400 can be written as Thirteen million, eight hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.38384 × 107
Factors of 13838400
Divisors of 13838400
- Number of divisors d(n): 189
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 120 124 144 150 155 160 180 186 192 200 225 240 248 279 288 300 310 320 360 372 400 450 465 480 496 558 576 600 620 720 744 775 800 900 930 960 961 992 1116 1200 1240 1395 1440 1488 1550 1600 1800 1860 1922 1984 2232 2325 2400 2480 2790 2880 2883 2976 3100 3600 3720 3844 4464 4650 4800 4805 4960 5580 5766 5952 6200 6975 7200 7440 7688 8649 8928 9300 9610 9920 11160 11532 12400 13950 14400 14415 14880 15376 17298 17856 18600 19220 22320 23064 24025 24800 27900 28830 29760 30752 34596 37200 38440 43245 44640 46128 48050 49600 55800 57660 61504 69192 72075 74400 76880 86490 89280 92256 96100 111600 115320 138384 144150 148800 153760 172980 184512 192200 216225 223200 230640 276768 288300 307520 345960 384400 432450 446400 461280 553536 576600 691920 768800 864900 922560 1153200 1383840 1537600 1729800 2306400 2767680 3459600 4612800 6919200 13838400
- Sum of all divisors σ(n): 50822733
- Sum of proper divisors (its aliquot sum) s(n): 36984333
- 13838400 is an abundant number, because the sum of its proper divisors (36984333) is greater than itself. Its abundance is 23145933
Bases of 13838400
- Binary: 1101001100101000010000002
- Hexadecimal: 0xD32840
- Base-36: 88LS0
Squares and roots of 13838400
- 13838400 squared (138384002) is 191501314560000
- 13838400 cubed (138384003) is 2650071791407104000000
-
13838400 is a
perfect square number . Itssquare root is 3720 -
The
cube root of 13838400 is 240.0833044149
Scales and comparisons
How big is 13838400?- 13,838,400 seconds is equal to 22 weeks, 6 days, 4 hours.
-
To count from 1 to 13,838,400 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 13838400 cubic inches would be around 20 feet tall.
Recreational maths with 13838400
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 13838400 - Facts about the integer". Numbermatics.com. 2024. Web. 29 March 2024.
APA style:
Numbermatics. (2024). Number 13838400 - Facts about the integer. Retrieved 29 March 2024, from https://numbermatics.com/n/13838400/
Chicago style:
Numbermatics. 2024. "Number 13838400 - Facts about the integer". https://numbermatics.com/n/13838400/
The information we have on file for 13838400 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 13838400, math, Factors of 13838400, curriculum, school, college, exams, university, Prime factorization of 13838400, STEM, science, technology, engineering, physics, economics, calculator, thirteen million, eight hundred thirty-eight thousand, four hundred.