106985216
106,985,216 is an even composite number composed of five prime numbers multiplied together.
106985216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 106985216:
28 × 13 × 17 × 31 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 17 × 31 × 61)See below for interesting mathematical facts about the number 106985216 from the Numbermatics database.
Names of 106985216
- Cardinal: 106985216 can be written as One hundred six million, nine hundred eighty-five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.06985216 × 108
Factors of 106985216
Divisors of 106985216
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 8 13 16 17 26 31 32 34 52 61 62 64 68 104 122 124 128 136 208 221 244 248 256 272 403 416 442 488 496 527 544 793 806 832 884 976 992 1037 1054 1088 1586 1612 1664 1768 1891 1952 1984 2074 2108 2176 3172 3224 3328 3536 3782 3904 3968 4148 4216 4352 6344 6448 6851 7072 7564 7808 7936 8296 8432 12688 12896 13481 13702 14144 15128 15616 16592 16864 24583 25376 25792 26962 27404 28288 30256 32147 33184 33728 49166 50752 51584 53924 54808 56576 60512 64294 66368 67456 98332 101504 103168 107848 109616 121024 128588 132736 134912 196664 203008 215696 219232 242048 257176 265472 393328 417911 431392 438464 484096 514352 786656 835822 862784 876928 1028704 1573312 1671644 1725568 1753856 2057408 3146624 3343288 3451136 4114816 6293248 6686576 8229632 13373152 26746304 53492608 106985216
- Sum of all divisors σ(n): 255483648
- Sum of proper divisors (its aliquot sum) s(n): 148498432
- 106985216 is an abundant number, because the sum of its proper divisors (148498432) is greater than itself. Its abundance is 41513216
Bases of 106985216
- Binary: 1100110000001110111000000002
- Hexadecimal: 0x6607700
- Base-36: 1RP2BK
Squares and roots of 106985216
- 106985216 squared (1069852162) is 11445836442566656
- 106985216 cubed (1069852163) is 1224535284108665286557696
-
The
square root of 106985216 is 10343.3657964901 -
The
cube root of 106985216 is 474.7240739107
Scales and comparisons
How big is 106985216?- 106,985,216 seconds is equal to 3 years, 20 weeks, 6 days, 6 hours, 6 minutes, 56 seconds.
-
To count from 1 to 106,985,216 would take you about five 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 106985216 cubic inches would be around 39.6 feet tall.
Recreational maths with 106985216
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 106985216 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 106985216 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/106985216/
Chicago style:
Numbermatics. 2024. "Number 106985216 - Facts about the integer". https://numbermatics.com/n/106985216/
The information we have on file for 106985216 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 106985216, math, Factors of 106985216, curriculum, school, college, exams, university, Prime factorization of 106985216, STEM, science, technology, engineering, physics, economics, calculator, one hundred six million, nine hundred eighty-five thousand, two hundred sixteen.