820147328
820,147,328 is an even composite number composed of six prime numbers multiplied together.
820147328 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 820147328:
27 × 7 × 11 × 13 × 37 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 13 × 37 × 173)See below for interesting mathematical facts about the number 820147328 from the Numbermatics database.
Names of 820147328
- Cardinal: 820147328 can be written as Eight hundred twenty million, one hundred forty-seven thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 8.20147328 × 108
Factors of 820147328
Divisors of 820147328
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 32 37 44 52 56 64 74 77 88 91 104 112 128 143 148 154 173 176 182 208 224 259 286 296 308 346 352 364 407 416 448 481 518 572 592 616 692 704 728 814 832 896 962 1001 1036 1144 1184 1211 1232 1384 1408 1456 1628 1664 1903 1924 2002 2072 2249 2288 2368 2422 2464 2768 2849 2912 3256 3367 3806 3848 4004 4144 4498 4576 4736 4844 4928 5291 5536 5698 5824 6401 6512 6734 7612 7696 8008 8288 8996 9152 9688 9856 10582 11072 11396 11648 12802 13024 13321 13468 15224 15392 15743 16016 16576 17992 18304 19376 21164 22144 22792 24739 25604 26048 26642 26936 30448 30784 31486 32032 33152 35984 37037 38752 42328 44807 45584 49478 51208 52096 53284 53872 60896 61568 62972 64064 70411 71968 74074 77504 83213 84656 89614 91168 98956 102416 106568 107744 121792 125944 128128 140822 143936 148148 155008 166426 169312 173173 179228 182336 197912 204832 213136 215488 243584 251888 281644 287872 296296 332852 338624 346346 358456 364672 395824 409664 426272 430976 492877 503776 563288 582491 592592 665704 677248 692692 716912 791648 819328 852544 915343 985754 1007552 1126576 1164982 1185184 1331408 1385384 1433824 1583296 1705088 1830686 1971508 2015104 2253152 2329964 2370368 2662816 2770768 2867648 3166592 3661372 3943016 4506304 4659928 4740736 5325632 5541536 5735296 6407401 7322744 7886032 9012608 9319856 10651264 11083072 12814802 14645488 15772064 18639712 22166144 25629604 29290976 31544128 37279424 51259208 58581952 63088256 74558848 102518416 117163904 205036832 410073664 820147328
- Sum of all divisors σ(n): 2266064640
- Sum of proper divisors (its aliquot sum) s(n): 1445917312
- 820147328 is an abundant number, because the sum of its proper divisors (1445917312) is greater than itself. Its abundance is 625769984
Bases of 820147328
- Binary: 1100001110001001110100100000002
- Hexadecimal: 0x30E27480
- Base-36: DKALQ8
Squares and roots of 820147328
- 820147328 squared (8201473282) is 672641639625539584
- 820147328 cubed (8201473283) is 551665243440425210375831552
-
The
square root of 820147328 is 28638.2144694811 -
The
cube root of 820147328 is 936.0462148755
Scales and comparisons
How big is 820147328?- 820,147,328 seconds is equal to 26 years, 4 weeks, 10 hours, 42 minutes, 8 seconds.
-
To count from 1 to 820,147,328 would take you about thirty-nine 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 820147328 cubic inches would be around 78 feet tall.
Recreational maths with 820147328
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 820147328 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 820147328 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/820147328/
Chicago style:
Numbermatics. 2024. "Number 820147328 - Facts about the integer". https://numbermatics.com/n/820147328/
The information we have on file for 820147328 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 820147328, math, Factors of 820147328, curriculum, school, college, exams, university, Prime factorization of 820147328, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty million, one hundred forty-seven thousand, three hundred twenty-eight.