13768920
13,768,920 is an even composite number composed of six prime numbers multiplied together.
13768920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 13768920:
23 × 33 × 5 × 11 × 19 × 61
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 19 × 61)See below for interesting mathematical facts about the number 13768920 from the Numbermatics database.
Names of 13768920
- Cardinal: 13768920 can be written as Thirteen million, seven hundred sixty-eight thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.376892 × 107
Factors of 13768920
Divisors of 13768920
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 19 20 22 24 27 30 33 36 38 40 44 45 54 55 57 60 61 66 72 76 88 90 95 99 108 110 114 120 122 132 135 152 165 171 180 183 190 198 209 216 220 228 244 264 270 285 297 305 330 342 360 366 380 396 418 440 456 488 495 513 540 549 570 594 610 627 660 671 684 732 760 792 836 855 915 990 1026 1045 1080 1098 1140 1159 1188 1220 1254 1320 1342 1368 1464 1485 1647 1672 1710 1830 1881 1980 2013 2052 2090 2196 2280 2318 2376 2440 2508 2565 2684 2745 2970 3135 3294 3355 3420 3477 3660 3762 3960 4026 4104 4180 4392 4636 5016 5130 5368 5490 5643 5795 5940 6039 6270 6588 6710 6840 6954 7320 7524 8052 8235 8360 9272 9405 10065 10260 10431 10980 11286 11590 11880 12078 12540 12749 13176 13420 13908 15048 16104 16470 17385 18117 18810 20130 20520 20862 21960 22572 23180 24156 25080 25498 26840 27816 28215 30195 31293 32940 34770 36234 37620 38247 40260 41724 45144 46360 48312 50996 52155 56430 60390 62586 63745 65880 69540 72468 75240 76494 80520 83448 90585 101992 104310 112860 114741 120780 125172 127490 139080 144936 152988 156465 181170 191235 208620 225720 229482 241560 250344 254980 305976 312930 344223 362340 382470 417240 458964 509960 573705 625860 688446 724680 764940 917928 1147410 1251720 1376892 1529880 1721115 2294820 2753784 3442230 4589640 6884460 13768920
- Sum of all divisors σ(n): 53568000
- Sum of proper divisors (its aliquot sum) s(n): 39799080
- 13768920 is an abundant number, because the sum of its proper divisors (39799080) is greater than itself. Its abundance is 26030160
Bases of 13768920
- Binary: 1101001000011000110110002
- Hexadecimal: 0xD218D8
- Base-36: 87460
Squares and roots of 13768920
- 13768920 squared (137689202) is 189583157966400
- 13768920 cubed (137689203) is 2610355335386724288000
-
The
square root of 13768920 is 3710.6495388275 -
The
cube root of 13768920 is 239.6808257205
Scales and comparisons
How big is 13768920?- 13,768,920 seconds is equal to 22 weeks, 5 days, 8 hours, 42 minutes.
-
To count from 1 to 13,768,920 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 13768920 cubic inches would be around 20 feet tall.
Recreational maths with 13768920
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 13768920 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 13768920 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/13768920/
Chicago style:
Numbermatics. 2024. "Number 13768920 - Facts about the integer". https://numbermatics.com/n/13768920/
The information we have on file for 13768920 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 13768920, math, Factors of 13768920, curriculum, school, college, exams, university, Prime factorization of 13768920, STEM, science, technology, engineering, physics, economics, calculator, thirteen million, seven hundred sixty-eight thousand, nine hundred twenty.