972908820
972,908,820 is an even composite number composed of six prime numbers multiplied together.
972908820 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 972908820:
22 × 37 × 5 × 13 × 29 × 59
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 29 × 59)See below for interesting mathematical facts about the number 972908820 from the Numbermatics database.
Names of 972908820
- Cardinal: 972908820 can be written as Nine hundred seventy-two million, nine hundred eight thousand, eight hundred twenty.
Scientific notation
- Scientific notation: 9.7290882 × 108
Factors of 972908820
Divisors of 972908820
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 29 30 36 39 45 52 54 58 59 60 65 78 81 87 90 108 116 117 118 130 135 145 156 162 174 177 180 195 234 236 243 260 261 270 290 295 324 348 351 354 377 390 405 435 468 486 522 531 540 580 585 590 702 708 729 754 767 780 783 810 870 885 972 1044 1053 1062 1131 1170 1180 1215 1305 1404 1458 1508 1534 1566 1593 1620 1711 1740 1755 1770 1885 2106 2124 2187 2262 2301 2340 2349 2430 2610 2655 2916 3068 3132 3159 3186 3393 3422 3510 3540 3645 3770 3835 3915 4212 4374 4524 4602 4698 4779 4860 5133 5220 5265 5310 5655 6318 6372 6786 6844 6903 7020 7047 7290 7540 7670 7830 7965 8555 8748 9204 9396 9477 9558 10179 10266 10530 10620 10935 11310 11505 11745 12636 13572 13806 14094 14337 14580 15340 15399 15660 15795 15930 16965 17110 18954 19116 20358 20532 20709 21060 21141 21870 22243 22620 23010 23490 23895 25665 27612 28188 28431 28674 30537 30798 31590 31860 33930 34220 34515 35235 37908 40716 41418 42282 43011 43740 44486 46020 46197 46980 47385 47790 50895 51330 56862 57348 61074 61596 62127 63180 63423 66729 67860 69030 70470 71685 76995 82836 84564 86022 88972 91611 92394 94770 95580 101790 102660 103545 105705 111215 113724 122148 124254 126846 129033 133458 138060 138591 140940 142155 143370 152685 153990 172044 183222 184788 186381 189540 200187 203580 207090 211410 215055 222430 230985 248508 253692 258066 266916 274833 277182 284310 286740 305370 307980 310635 317115 333645 366444 372762 400374 414180 415773 422820 430110 444860 458055 461970 516132 549666 554364 559143 568620 600561 610740 621270 634230 645165 667290 692955 745524 800748 824499 831546 860220 916110 923940 931905 1000935 1099332 1118286 1201122 1242540 1247319 1268460 1290330 1334580 1374165 1385910 1648998 1663092 1677429 1801683 1832220 1863810 2001870 2078865 2236572 2402244 2494638 2580660 2748330 2771820 2795715 3002805 3297996 3354858 3603366 3727620 3741957 4003740 4122495 4157730 4989276 5405049 5496660 5591430 6005610 6236595 6709716 7206732 7483914 8244990 8315460 8387145 9008415 10810098 11182860 12011220 12473190 14967828 16215147 16489980 16774290 18016830 18709785 21620196 24946380 27025245 32430294 33548580 36033660 37419570 48645441 54050490 64860588 74839140 81075735 97290882 108100980 162151470 194581764 243227205 324302940 486454410 972908820
- Sum of all divisors σ(n): 3471552000
- Sum of proper divisors (its aliquot sum) s(n): 2498643180
- 972908820 is an abundant number, because the sum of its proper divisors (2498643180) is greater than itself. Its abundance is 1525734360
Bases of 972908820
- Binary: 1110011111110101101001000101002
- Hexadecimal: 0x39FD6914
- Base-36: G38T90
Squares and roots of 972908820
- 972908820 squared (9729088202) is 946551572033792400
- 972908820 cubed (9729088203) is 920908373016541964008968000
-
The
square root of 972908820 is 31191.4863384225 -
The
cube root of 972908820 is 990.8868086951
Scales and comparisons
How big is 972908820?- 972,908,820 seconds is equal to 30 years, 48 weeks, 4 days, 12 hours, 27 minutes.
-
To count from 1 to 972,908,820 would take you about forty-six 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 972908820 cubic inches would be around 82.6 feet tall.
Recreational maths with 972908820
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 972908820 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
APA style:
Numbermatics. (2024). Number 972908820 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/972908820/
Chicago style:
Numbermatics. 2024. "Number 972908820 - Facts about the integer". https://numbermatics.com/n/972908820/
The information we have on file for 972908820 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 972908820, math, Factors of 972908820, curriculum, school, college, exams, university, Prime factorization of 972908820, STEM, science, technology, engineering, physics, economics, calculator, nine hundred seventy-two million, nine hundred eight thousand, eight hundred twenty.