7680960
7,680,960 is an even composite number composed of five prime numbers multiplied together.
7680960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 7680960:
26 × 33 × 5 × 7 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 127)See below for interesting mathematical facts about the number 7680960 from the Numbermatics database.
Names of 7680960
- Cardinal: 7680960 can be written as Seven million, six hundred eighty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 7.68096 × 106
Factors of 7680960
Divisors of 7680960
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 84 90 96 105 108 112 120 126 127 135 140 144 160 168 180 189 192 210 216 224 240 252 254 270 280 288 315 320 336 360 378 381 420 432 448 480 504 508 540 560 576 630 635 672 720 756 762 840 864 889 945 960 1008 1016 1080 1120 1143 1260 1270 1344 1440 1512 1524 1680 1728 1778 1890 1905 2016 2032 2160 2240 2286 2520 2540 2667 2880 3024 3048 3360 3429 3556 3780 3810 4032 4064 4320 4445 4572 5040 5080 5334 5715 6048 6096 6720 6858 7112 7560 7620 8001 8128 8640 8890 9144 10080 10160 10668 11430 12096 12192 13335 13716 14224 15120 15240 16002 17145 17780 18288 20160 20320 21336 22860 24003 24384 26670 27432 28448 30240 30480 32004 34290 35560 36576 40005 40640 42672 45720 48006 53340 54864 56896 60480 60960 64008 68580 71120 73152 80010 85344 91440 96012 106680 109728 120015 121920 128016 137160 142240 160020 170688 182880 192024 213360 219456 240030 256032 274320 284480 320040 365760 384048 426720 480060 512064 548640 640080 768096 853440 960120 1097280 1280160 1536192 1920240 2560320 3840480 7680960
- Sum of all divisors σ(n): 31211520
- Sum of proper divisors (its aliquot sum) s(n): 23530560
- 7680960 is an abundant number, because the sum of its proper divisors (23530560) is greater than itself. Its abundance is 15849600
Bases of 7680960
- Binary: 111010100110011110000002
- Hexadecimal: 0x7533C0
- Base-36: 4KMO0
Squares and roots of 7680960
- 7680960 squared (76809602) is 58997146521600
- 7680960 cubed (76809603) is 453154722546548736000
-
The
square root of 7680960 is 2771.4544917787 -
The
cube root of 7680960 is 197.3051863109
Scales and comparisons
How big is 7680960?- 7,680,960 seconds is equal to 12 weeks, 4 days, 21 hours, 36 minutes.
-
To count from 1 to 7,680,960 would take you about nineteen weeks!
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 7680960 cubic inches would be around 16.4 feet tall.
Recreational maths with 7680960
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 7680960 - Facts about the integer". Numbermatics.com. 2024. Web. 26 April 2024.
APA style:
Numbermatics. (2024). Number 7680960 - Facts about the integer. Retrieved 26 April 2024, from https://numbermatics.com/n/7680960/
Chicago style:
Numbermatics. 2024. "Number 7680960 - Facts about the integer". https://numbermatics.com/n/7680960/
The information we have on file for 7680960 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 7680960, math, Factors of 7680960, curriculum, school, college, exams, university, Prime factorization of 7680960, STEM, science, technology, engineering, physics, economics, calculator, seven million, six hundred eighty thousand, nine hundred sixty.