96768000
96,768,000 is an even composite number composed of four prime numbers multiplied together.
96768000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred sixteen divisors.
Prime factorization of 96768000:
212 × 33 × 53 × 7
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7)See below for interesting mathematical facts about the number 96768000 from the Numbermatics database.
Names of 96768000
- Cardinal: 96768000 can be written as Ninety-six million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 9.6768 × 107
Factors of 96768000
Divisors of 96768000
- Number of divisors d(n): 416
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 250 252 256 270 280 288 300 315 320 336 350 360 375 378 384 400 420 432 448 450 480 500 504 512 525 540 560 576 600 630 640 672 675 700 720 750 756 768 800 840 864 875 896 900 945 960 1000 1008 1024 1050 1080 1120 1125 1152 1200 1260 1280 1344 1350 1400 1440 1500 1512 1536 1575 1600 1680 1728 1750 1792 1800 1890 1920 2000 2016 2048 2100 2160 2240 2250 2304 2400 2520 2560 2625 2688 2700 2800 2880 3000 3024 3072 3150 3200 3360 3375 3456 3500 3584 3600 3780 3840 4000 4032 4096 4200 4320 4480 4500 4608 4725 4800 5040 5120 5250 5376 5400 5600 5760 6000 6048 6144 6300 6400 6720 6750 6912 7000 7168 7200 7560 7680 7875 8000 8064 8400 8640 8960 9000 9216 9450 9600 10080 10240 10500 10752 10800 11200 11520 12000 12096 12288 12600 12800 13440 13500 13824 14000 14336 14400 15120 15360 15750 16000 16128 16800 17280 17920 18000 18432 18900 19200 20160 20480 21000 21504 21600 22400 23040 23625 24000 24192 25200 25600 26880 27000 27648 28000 28672 28800 30240 30720 31500 32000 32256 33600 34560 35840 36000 36864 37800 38400 40320 42000 43008 43200 44800 46080 47250 48000 48384 50400 51200 53760 54000 55296 56000 57600 60480 61440 63000 64000 64512 67200 69120 71680 72000 75600 76800 80640 84000 86016 86400 89600 92160 94500 96000 96768 100800 102400 107520 108000 110592 112000 115200 120960 126000 128000 129024 134400 138240 143360 144000 151200 153600 161280 168000 172800 179200 184320 189000 192000 193536 201600 215040 216000 224000 230400 241920 252000 256000 258048 268800 276480 288000 302400 307200 322560 336000 345600 358400 378000 384000 387072 403200 430080 432000 448000 460800 483840 504000 512000 537600 552960 576000 604800 645120 672000 691200 716800 756000 768000 774144 806400 864000 896000 921600 967680 1008000 1075200 1152000 1209600 1290240 1344000 1382400 1512000 1536000 1612800 1728000 1792000 1935360 2016000 2150400 2304000 2419200 2688000 2764800 3024000 3225600 3456000 3584000 3870720 4032000 4608000 4838400 5376000 6048000 6451200 6912000 8064000 9676800 10752000 12096000 13824000 16128000 19353600 24192000 32256000 48384000 96768000
- Sum of all divisors σ(n): 408894720
- Sum of proper divisors (its aliquot sum) s(n): 312126720
- 96768000 is an abundant number, because the sum of its proper divisors (312126720) is greater than itself. Its abundance is 215358720
Bases of 96768000
- Binary: 1011100010010010000000000002
- Hexadecimal: 0x5C49000
- Base-36: 1LM2O0
Squares and roots of 96768000
- 96768000 squared (967680002) is 9364045824000000
- 96768000 cubed (967680003) is 906139986296832000000000
-
The
square root of 96768000 is 9837.0727353213 -
The
cube root of 96768000 is 459.1034838653
Scales and comparisons
How big is 96768000?- 96,768,000 seconds is equal to 3 years, 4 weeks.
-
To count from 1 to 96,768,000 would take you about four 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 96768000 cubic inches would be around 38.3 feet tall.
Recreational maths with 96768000
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 96768000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 April 2024.
APA style:
Numbermatics. (2024). Number 96768000 - Facts about the integer. Retrieved 26 April 2024, from https://numbermatics.com/n/96768000/
Chicago style:
Numbermatics. 2024. "Number 96768000 - Facts about the integer". https://numbermatics.com/n/96768000/
The information we have on file for 96768000 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 96768000, math, Factors of 96768000, curriculum, school, college, exams, university, Prime factorization of 96768000, STEM, science, technology, engineering, physics, economics, calculator, ninety-six million, seven hundred sixty-eight thousand.