680407728
680,407,728 is an even composite number composed of six prime numbers multiplied together.
680407728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 680407728:
24 × 3 × 73 × 11 × 13 × 172
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 11 × 13 × 17 × 17)See below for interesting mathematical facts about the number 680407728 from the Numbermatics database.
Names of 680407728
- Cardinal: 680407728 can be written as Six hundred eighty million, four hundred seven thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 6.80407728 × 108
Factors of 680407728
Divisors of 680407728
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 17 21 22 24 26 28 33 34 39 42 44 48 49 51 52 56 66 68 77 78 84 88 91 98 102 104 112 119 132 136 143 147 154 156 168 176 182 187 196 204 208 221 231 238 264 272 273 286 289 294 308 312 336 343 357 364 374 392 408 429 442 462 476 528 539 546 561 572 578 588 616 624 637 663 686 714 728 748 784 816 833 858 867 884 924 952 1001 1029 1078 1092 1122 1144 1156 1176 1232 1274 1309 1326 1372 1428 1456 1496 1547 1617 1666 1716 1734 1768 1848 1904 1911 2002 2023 2058 2156 2184 2244 2288 2312 2352 2431 2499 2548 2618 2652 2744 2856 2992 3003 3094 3179 3234 3332 3432 3468 3536 3696 3757 3773 3822 3927 4004 4046 4116 4312 4368 4459 4488 4624 4641 4862 4998 5096 5236 5304 5488 5712 5831 6006 6069 6188 6358 6468 6664 6864 6936 7007 7293 7514 7546 7644 7854 8008 8092 8232 8624 8918 8976 9163 9282 9537 9724 9996 10192 10472 10608 10829 11271 11319 11662 12012 12138 12376 12716 12936 13328 13377 13872 14014 14161 14586 15028 15092 15288 15708 16016 16184 16464 17017 17493 17836 18326 18564 19074 19448 19992 20944 21021 21658 22253 22542 22638 23324 24024 24276 24752 25432 25872 26299 26754 27489 28028 28322 29172 30056 30184 30576 31416 32368 32487 34034 34986 35672 36652 37128 38148 38896 39984 41327 42042 42483 43316 44506 45084 45276 46648 48048 48552 49049 50864 51051 52598 53508 54978 56056 56644 58344 60112 60368 62832 64141 64974 66759 68068 69972 71344 73304 74256 75803 76296 78897 82654 84084 84966 86632 89012 90168 90552 93296 97104 98098 99127 102102 105196 107016 109956 112112 113288 116688 119119 123981 128282 129948 133518 136136 139944 146608 147147 151606 152592 155771 157794 165308 168168 169932 173264 178024 180336 181104 184093 192423 196196 198254 204204 210392 214032 219912 226576 227409 238238 247962 256564 259896 267036 272272 279888 289289 294294 297381 303212 311542 315588 330616 336336 339864 356048 357357 368186 384846 392392 396508 408408 420784 439824 454818 467313 476476 495924 513128 519792 534072 552279 578578 588588 594762 606424 623084 631176 661232 679728 714714 736372 769692 784784 793016 816816 833833 867867 909636 934626 952952 991848 1026256 1068144 1090397 1104558 1157156 1177176 1189524 1212848 1246168 1262352 1288651 1429428 1472744 1539384 1586032 1667666 1735734 1819272 1869252 1905904 1983696 2025023 2180794 2209116 2314312 2354352 2379048 2492336 2501499 2577302 2858856 2945488 3078768 3271191 3335332 3471468 3638544 3738504 3865953 4050046 4361588 4418232 4628624 4758096 5002998 5154604 5717712 6075069 6542382 6670664 6942936 7477008 7731906 8100092 8723176 8836464 10005996 10309208 12150138 13084764 13341328 13885872 14175161 15463812 16200184 17446352 20011992 20618416 24300276 26169528 28350322 30927624 32400368 40023984 42525483 48600552 52339056 56700644 61855248 85050966 97201104 113401288 170101932 226802576 340203864 680407728
- Sum of all divisors σ(n): 2558169600
- Sum of proper divisors (its aliquot sum) s(n): 1877761872
- 680407728 is an abundant number, because the sum of its proper divisors (1877761872) is greater than itself. Its abundance is 1197354144
Bases of 680407728
- Binary: 1010001000111000110010101100002
- Hexadecimal: 0x288E32B0
- Base-36: B93HYO
Squares and roots of 680407728
- 680407728 squared (6804077282) is 462954676322121984
- 680407728 cubed (6804077283) is 314997939483310415272292352
-
The
square root of 680407728 is 26084.6262767937 -
The
cube root of 680407728 is 879.5416552537
Scales and comparisons
How big is 680407728?- 680,407,728 seconds is equal to 21 years, 33 weeks, 2 hours, 8 minutes, 48 seconds.
-
To count from 1 to 680,407,728 would take you about thirty-two 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 680407728 cubic inches would be around 73.3 feet tall.
Recreational maths with 680407728
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 680407728 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
APA style:
Numbermatics. (2024). Number 680407728 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/680407728/
Chicago style:
Numbermatics. 2024. "Number 680407728 - Facts about the integer". https://numbermatics.com/n/680407728/
The information we have on file for 680407728 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 680407728, math, Factors of 680407728, curriculum, school, college, exams, university, Prime factorization of 680407728, STEM, science, technology, engineering, physics, economics, calculator, six hundred eighty million, four hundred seven thousand, seven hundred twenty-eight.