76968320
76,968,320 is an even composite number composed of five prime numbers multiplied together.
76968320 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 76968320:
27 × 5 × 11 × 13 × 292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 29 × 29)See below for interesting mathematical facts about the number 76968320 from the Numbermatics database.
Names of 76968320
- Cardinal: 76968320 can be written as Seventy-six million, nine hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 7.696832 × 107
Factors of 76968320
Divisors of 76968320
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 29 32 40 44 52 55 58 64 65 80 88 104 110 116 128 130 143 145 160 176 208 220 232 260 286 290 319 320 352 377 416 440 464 520 572 580 638 640 704 715 754 832 841 880 928 1040 1144 1160 1276 1408 1430 1508 1595 1664 1682 1760 1856 1885 2080 2288 2320 2552 2860 3016 3190 3364 3520 3712 3770 4147 4160 4205 4576 4640 5104 5720 6032 6380 6728 7040 7540 8294 8320 8410 9152 9251 9280 10208 10933 11440 12064 12760 13456 15080 16588 16820 18304 18502 18560 20416 20735 21866 22880 24128 25520 26912 30160 33176 33640 37004 40832 41470 43732 45760 46255 48256 51040 53824 54665 60320 66352 67280 74008 82940 87464 91520 92510 102080 107648 109330 120263 120640 132704 134560 148016 165880 174928 185020 204160 218660 240526 241280 265408 269120 296032 331760 349856 370040 437320 481052 530816 538240 592064 601315 663520 699712 740080 874640 962104 1184128 1202630 1327040 1399424 1480160 1749280 1924208 2405260 2654080 2960320 3498560 3848416 4810520 5920640 6997120 7696832 9621040 15393664 19242080 38484160 76968320
- Sum of all divisors σ(n): 223881840
- Sum of proper divisors (its aliquot sum) s(n): 146913520
- 76968320 is an abundant number, because the sum of its proper divisors (146913520) is greater than itself. Its abundance is 69945200
Bases of 76968320
- Binary: 1001001011001110001100000002
- Hexadecimal: 0x4967180
- Base-36: 19TP4W
Squares and roots of 76968320
- 76968320 squared (769683202) is 5924122283622400
- 76968320 cubed (769683203) is 455969739644979642368000
-
The
square root of 76968320 is 8773.1590661517 -
The
cube root of 76968320 is 425.3737335363
Scales and comparisons
How big is 76968320?- 76,968,320 seconds is equal to 2 years, 23 weeks, 1 day, 20 hours, 5 minutes, 20 seconds.
-
To count from 1 to 76,968,320 would take you about three 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 76968320 cubic inches would be around 35.4 feet tall.
Recreational maths with 76968320
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 76968320 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
APA style:
Numbermatics. (2024). Number 76968320 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/76968320/
Chicago style:
Numbermatics. 2024. "Number 76968320 - Facts about the integer". https://numbermatics.com/n/76968320/
The information we have on file for 76968320 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 76968320, math, Factors of 76968320, curriculum, school, college, exams, university, Prime factorization of 76968320, STEM, science, technology, engineering, physics, economics, calculator, seventy-six million, nine hundred sixty-eight thousand, three hundred twenty.