12648000
12,648,000 is an even composite number composed of five prime numbers multiplied together.
12648000 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 12648000:
26 × 3 × 53 × 17 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 31)See below for interesting mathematical facts about the number 12648000 from the Numbermatics database.
Names of 12648000
- Cardinal: 12648000 can be written as Twelve million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.2648 × 107
Factors of 12648000
Divisors of 12648000
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 31 32 34 40 48 50 51 60 62 64 68 75 80 85 93 96 100 102 120 124 125 136 150 155 160 170 186 192 200 204 240 248 250 255 272 300 310 320 340 372 375 400 408 425 465 480 496 500 510 527 544 600 620 680 744 750 775 800 816 850 930 960 992 1000 1020 1054 1088 1200 1240 1275 1360 1488 1500 1550 1581 1600 1632 1700 1860 1984 2000 2040 2108 2125 2325 2400 2480 2550 2635 2720 2976 3000 3100 3162 3264 3400 3720 3875 4000 4080 4216 4250 4650 4800 4960 5100 5270 5440 5952 6000 6200 6324 6375 6800 7440 7750 7905 8000 8160 8432 8500 9300 9920 10200 10540 11625 12000 12400 12648 12750 13175 13600 14880 15500 15810 16320 16864 17000 18600 20400 21080 23250 24000 24800 25296 25500 26350 27200 29760 31000 31620 33728 34000 37200 39525 40800 42160 46500 49600 50592 51000 52700 62000 63240 65875 68000 74400 79050 81600 84320 93000 101184 102000 105400 124000 126480 131750 136000 148800 158100 168640 186000 197625 204000 210800 248000 252960 263500 316200 372000 395250 408000 421600 505920 527000 632400 744000 790500 843200 1054000 1264800 1581000 2108000 2529600 3162000 4216000 6324000 12648000
- Sum of all divisors σ(n): 45646848
- Sum of proper divisors (its aliquot sum) s(n): 32998848
- 12648000 is an abundant number, because the sum of its proper divisors (32998848) is greater than itself. Its abundance is 20350848
Bases of 12648000
- Binary: 1100000011111110010000002
- Hexadecimal: 0xC0FE40
- Base-36: 7J39C
Squares and roots of 12648000
- 12648000 squared (126480002) is 159971904000000
- 12648000 cubed (126480003) is 2023324641792000000000
-
The
square root of 12648000 is 3556.4026768633 -
The
cube root of 12648000 is 232.9917905585
Scales and comparisons
How big is 12648000?- 12,648,000 seconds is equal to 20 weeks, 6 days, 9 hours, 20 minutes.
-
To count from 1 to 12,648,000 would take you about thirty-one 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 12648000 cubic inches would be around 19.4 feet tall.
Recreational maths with 12648000
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 12648000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
APA style:
Numbermatics. (2024). Number 12648000 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/12648000/
Chicago style:
Numbermatics. 2024. "Number 12648000 - Facts about the integer". https://numbermatics.com/n/12648000/
The information we have on file for 12648000 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 12648000, math, Factors of 12648000, curriculum, school, college, exams, university, Prime factorization of 12648000, STEM, science, technology, engineering, physics, economics, calculator, twelve million, six hundred forty-eight thousand.