67728000
67,728,000 is an even composite number composed of five prime numbers multiplied together.
67728000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 67728000:
27 × 3 × 53 × 17 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 83)See below for interesting mathematical facts about the number 67728000 from the Numbermatics database.
Names of 67728000
- Cardinal: 67728000 can be written as Sixty-seven million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 6.7728 × 107
Factors of 67728000
Divisors of 67728000
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 83 85 96 100 102 120 125 128 136 150 160 166 170 192 200 204 240 249 250 255 272 300 320 332 340 375 384 400 408 415 425 480 498 500 510 544 600 640 664 680 750 800 816 830 850 960 996 1000 1020 1088 1200 1245 1275 1328 1360 1411 1500 1600 1632 1660 1700 1920 1992 2000 2040 2075 2125 2176 2400 2490 2550 2656 2720 2822 3000 3200 3264 3320 3400 3984 4000 4080 4150 4233 4250 4800 4980 5100 5312 5440 5644 6000 6225 6375 6528 6640 6800 7055 7968 8000 8160 8300 8466 8500 9600 9960 10200 10375 10624 10880 11288 12000 12450 12750 13280 13600 14110 15936 16000 16320 16600 16932 17000 19920 20400 20750 21165 22576 24000 24900 25500 26560 27200 28220 31125 31872 32640 33200 33864 34000 35275 39840 40800 41500 42330 45152 48000 49800 51000 53120 54400 56440 62250 66400 67728 68000 70550 79680 81600 83000 84660 90304 99600 102000 105825 112880 124500 132800 135456 136000 141100 159360 163200 166000 169320 176375 180608 199200 204000 211650 225760 249000 265600 270912 272000 282200 332000 338640 352750 398400 408000 423300 451520 498000 529125 541824 564400 664000 677280 705500 796800 816000 846600 903040 996000 1058250 1128800 1328000 1354560 1411000 1693200 1992000 2116500 2257600 2709120 2822000 3386400 3984000 4233000 4515200 5644000 6772800 8466000 11288000 13545600 16932000 22576000 33864000 67728000
- Sum of all divisors σ(n): 240589440
- Sum of proper divisors (its aliquot sum) s(n): 172861440
- 67728000 is an abundant number, because the sum of its proper divisors (172861440) is greater than itself. Its abundance is 105133440
Bases of 67728000
- Binary: 1000000100101110010100000002
- Hexadecimal: 0x4097280
- Base-36: 14BN9C
Squares and roots of 67728000
- 67728000 squared (677280002) is 4587081984000000
- 67728000 cubed (677280003) is 310673888612352000000000
-
The
square root of 67728000 is 8229.7023032429 -
The
cube root of 67728000 is 407.6205622671
Scales and comparisons
How big is 67728000?- 67,728,000 seconds is equal to 2 years, 7 weeks, 6 days, 21 hours, 20 minutes.
-
To count from 1 to 67,728,000 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 67728000 cubic inches would be around 34 feet tall.
Recreational maths with 67728000
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 67728000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 67728000 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/67728000/
Chicago style:
Numbermatics. 2024. "Number 67728000 - Facts about the integer". https://numbermatics.com/n/67728000/
The information we have on file for 67728000 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 67728000, math, Factors of 67728000, curriculum, school, college, exams, university, Prime factorization of 67728000, STEM, science, technology, engineering, physics, economics, calculator, sixty-seven million, seven hundred twenty-eight thousand.