21688128
21,688,128 is an even composite number composed of five prime numbers multiplied together.
21688128 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 21688128:
26 × 33 × 7 × 11 × 163
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 163)See below for interesting mathematical facts about the number 21688128 from the Numbermatics database.
Names of 21688128
- Cardinal: 21688128 can be written as Twenty-one million, six hundred eighty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 2.1688128 × 107
Factors of 21688128
Divisors of 21688128
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 64 66 72 77 84 88 96 99 108 112 126 132 144 154 163 168 176 189 192 198 216 224 231 252 264 288 297 308 326 336 352 378 396 432 448 462 489 504 528 576 594 616 652 672 693 704 756 792 864 924 978 1008 1056 1141 1188 1232 1304 1344 1386 1467 1512 1584 1728 1793 1848 1956 2016 2079 2112 2282 2376 2464 2608 2772 2934 3024 3168 3423 3586 3696 3912 4032 4158 4401 4564 4752 4928 5216 5379 5544 5868 6048 6336 6846 7172 7392 7824 8316 8802 9128 9504 10269 10432 10758 11088 11736 12096 12551 13692 14344 14784 15648 16137 16632 17604 18256 19008 20538 21516 22176 23472 25102 27384 28688 30807 31296 32274 33264 35208 36512 37653 41076 43032 44352 46944 48411 50204 54768 57376 61614 64548 66528 70416 73024 75306 82152 86064 93888 96822 100408 109536 112959 114752 123228 129096 133056 140832 150612 164304 172128 193644 200816 219072 225918 246456 258192 281664 301224 328608 338877 344256 387288 401632 451836 492912 516384 602448 657216 677754 774576 803264 903672 985824 1032768 1204896 1355508 1549152 1807344 1971648 2409792 2711016 3098304 3614688 5422032 7229376 10844064 21688128
- Sum of all divisors σ(n): 79979520
- Sum of proper divisors (its aliquot sum) s(n): 58291392
- 21688128 is an abundant number, because the sum of its proper divisors (58291392) is greater than itself. Its abundance is 36603264
Bases of 21688128
- Binary: 10100101011101111010000002
- Hexadecimal: 0x14AEF40
- Base-36: CWUO0
Squares and roots of 21688128
- 21688128 squared (216881282) is 470374896144384
- 21688128 cubed (216881283) is 10201550955566106673152
-
The
square root of 21688128 is 4657.0514276739 -
The
cube root of 21688128 is 278.8735697251
Scales and comparisons
How big is 21688128?- 21,688,128 seconds is equal to 35 weeks, 6 days, 28 minutes, 48 seconds.
-
To count from 1 to 21,688,128 would take you about five days!
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 21688128 cubic inches would be around 23.2 feet tall.
Recreational maths with 21688128
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 21688128 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
APA style:
Numbermatics. (2024). Number 21688128 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/21688128/
Chicago style:
Numbermatics. 2024. "Number 21688128 - Facts about the integer". https://numbermatics.com/n/21688128/
The information we have on file for 21688128 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 21688128, math, Factors of 21688128, curriculum, school, college, exams, university, Prime factorization of 21688128, STEM, science, technology, engineering, physics, economics, calculator, twenty-one million, six hundred eighty-eight thousand, one hundred twenty-eight.