966828960
966,828,960 is an even composite number composed of four prime numbers multiplied together.
966828960 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 966828960:
25 × 39 × 5 × 307
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 307)See below for interesting mathematical facts about the number 966828960 from the Numbermatics database.
Names of 966828960
- Cardinal: 966828960 can be written as Nine hundred sixty-six million, eight hundred twenty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 9.6682896 × 108
Factors of 966828960
Divisors of 966828960
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 307 324 360 405 432 480 486 540 614 648 720 729 810 864 921 972 1080 1215 1228 1296 1440 1458 1535 1620 1842 1944 2160 2187 2430 2456 2592 2763 2916 3070 3240 3645 3684 3888 4320 4374 4605 4860 4912 5526 5832 6140 6480 6561 7290 7368 7776 8289 8748 9210 9720 9824 10935 11052 11664 12280 12960 13122 13815 14580 14736 16578 17496 18420 19440 19683 21870 22104 23328 24560 24867 26244 27630 29160 29472 32805 33156 34992 36840 38880 39366 41445 43740 44208 49120 49734 52488 55260 58320 65610 66312 69984 73680 74601 78732 82890 87480 88416 98415 99468 104976 110520 116640 124335 131220 132624 147360 149202 157464 165780 174960 196830 198936 209952 221040 223803 248670 262440 265248 298404 314928 331560 349920 373005 393660 397872 442080 447606 497340 524880 596808 629856 663120 671409 746010 787320 795744 895212 994680 1049760 1119015 1193616 1326240 1342818 1492020 1574640 1790424 1989360 2014227 2238030 2387232 2685636 2984040 3149280 3357045 3580848 3978720 4028454 4476060 5371272 5968080 6042681 6714090 7161696 8056908 8952120 10071135 10742544 11936160 12085362 13428180 16113816 17904240 20142270 21485088 24170724 26856360 30213405 32227632 35808480 40284540 48341448 53712720 60426810 64455264 80569080 96682896 107425440 120853620 161138160 193365792 241707240 322276320 483414480 966828960
- Sum of all divisors σ(n): 3437302176
- Sum of proper divisors (its aliquot sum) s(n): 2470473216
- 966828960 is an abundant number, because the sum of its proper divisors (2470473216) is greater than itself. Its abundance is 1503644256
Bases of 966828960
- Binary: 1110011010000010100011101000002
- Hexadecimal: 0x39A0A3A0
- Base-36: FZMI00
Squares and roots of 966828960
- 966828960 squared (9668289602) is 934758237894681600
- 966828960 cubed (9668289603) is 903751334995147600859136000
-
The
square root of 966828960 is 31093.8733515145 -
The
cube root of 966828960 is 988.8184250501
Scales and comparisons
How big is 966828960?- 966,828,960 seconds is equal to 30 years, 38 weeks, 4 days, 3 hours, 36 minutes.
-
To count from 1 to 966,828,960 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 966828960 cubic inches would be around 82.4 feet tall.
Recreational maths with 966828960
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 966828960 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 966828960 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/966828960/
Chicago style:
Numbermatics. 2024. "Number 966828960 - Facts about the integer". https://numbermatics.com/n/966828960/
The information we have on file for 966828960 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 966828960, math, Factors of 966828960, curriculum, school, college, exams, university, Prime factorization of 966828960, STEM, science, technology, engineering, physics, economics, calculator, nine hundred sixty-six million, eight hundred twenty-eight thousand, nine hundred sixty.