268083200
268,083,200 is an even composite number composed of five prime numbers multiplied together.
268083200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 268083200:
213 × 52 × 7 × 11 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 17)See below for interesting mathematical facts about the number 268083200 from the Numbermatics database.
Names of 268083200
- Cardinal: 268083200 can be written as Two hundred sixty-eight million, eighty-three thousand, two hundred.
Scientific notation
- Scientific notation: 2.680832 × 108
Factors of 268083200
Divisors of 268083200
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 32 34 35 40 44 50 55 56 64 68 70 77 80 85 88 100 110 112 119 128 136 140 154 160 170 175 176 187 200 220 224 238 256 272 275 280 308 320 340 350 352 374 385 400 425 440 448 476 512 544 550 560 595 616 640 680 700 704 748 770 800 850 880 896 935 952 1024 1088 1100 1120 1190 1232 1280 1309 1360 1400 1408 1496 1540 1600 1700 1760 1792 1870 1904 1925 2048 2176 2200 2240 2380 2464 2560 2618 2720 2800 2816 2975 2992 3080 3200 3400 3520 3584 3740 3808 3850 4096 4352 4400 4480 4675 4760 4928 5120 5236 5440 5600 5632 5950 5984 6160 6400 6545 6800 7040 7168 7480 7616 7700 8192 8704 8800 8960 9350 9520 9856 10240 10472 10880 11200 11264 11900 11968 12320 12800 13090 13600 14080 14336 14960 15232 15400 17408 17600 17920 18700 19040 19712 20480 20944 21760 22400 22528 23800 23936 24640 25600 26180 27200 28160 28672 29920 30464 30800 32725 34816 35200 35840 37400 38080 39424 40960 41888 43520 44800 45056 47600 47872 49280 51200 52360 54400 56320 57344 59840 60928 61600 65450 69632 70400 71680 74800 76160 78848 83776 87040 89600 90112 95200 95744 98560 102400 104720 108800 112640 119680 121856 123200 130900 139264 140800 143360 149600 152320 157696 167552 174080 179200 190400 191488 197120 204800 209440 217600 225280 239360 243712 246400 261800 281600 286720 299200 304640 315392 335104 348160 358400 380800 382976 394240 418880 435200 450560 478720 487424 492800 523600 563200 598400 609280 630784 670208 696320 716800 761600 765952 788480 837760 870400 957440 974848 985600 1047200 1126400 1196800 1218560 1340416 1433600 1523200 1531904 1576960 1675520 1740800 1914880 1971200 2094400 2252800 2393600 2437120 2680832 3046400 3153920 3351040 3481600 3829760 3942400 4188800 4787200 4874240 5361664 6092800 6702080 7659520 7884800 8377600 9574400 10723328 12185600 13404160 15769600 16755200 19148800 24371200 26808320 33510400 38297600 53616640 67020800 134041600 268083200
- Sum of all divisors σ(n): 877604544
- Sum of proper divisors (its aliquot sum) s(n): 609521344
- 268083200 is an abundant number, because the sum of its proper divisors (609521344) is greater than itself. Its abundance is 341438144
Bases of 268083200
- Binary: 11111111101010100000000000002
- Hexadecimal: 0xFFAA000
- Base-36: 4FLYBK
Squares and roots of 268083200
- 268083200 squared (2680832002) is 71868602122240000
- 268083200 cubed (2680832003) is 19266764836456890368000000
-
The
square root of 268083200 is 16373.2464709965 -
The
cube root of 268083200 is 644.7972842113
Scales and comparisons
How big is 268083200?- 268,083,200 seconds is equal to 8 years, 27 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 268,083,200 would take you about twelve years!
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 268083200 cubic inches would be around 53.7 feet tall.
Recreational maths with 268083200
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 268083200 - Facts about the integer". Numbermatics.com. 2024. Web. 24 April 2024.
APA style:
Numbermatics. (2024). Number 268083200 - Facts about the integer. Retrieved 24 April 2024, from https://numbermatics.com/n/268083200/
Chicago style:
Numbermatics. 2024. "Number 268083200 - Facts about the integer". https://numbermatics.com/n/268083200/
The information we have on file for 268083200 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 268083200, math, Factors of 268083200, curriculum, school, college, exams, university, Prime factorization of 268083200, STEM, science, technology, engineering, physics, economics, calculator, two hundred sixty-eight million, eighty-three thousand, two hundred.