106048320
106,048,320 is an even composite number composed of six prime numbers multiplied together.
106048320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 106048320:
26 × 3 × 5 × 7 × 43 × 367
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 43 × 367)See below for interesting mathematical facts about the number 106048320 from the Numbermatics database.
Names of 106048320
- Cardinal: 106048320 can be written as One hundred six million, forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.0604832 × 108
Factors of 106048320
Divisors of 106048320
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 43 48 56 60 64 70 80 84 86 96 105 112 120 129 140 160 168 172 192 210 215 224 240 258 280 301 320 336 344 367 420 430 448 480 516 560 602 645 672 688 734 840 860 903 960 1032 1101 1120 1204 1290 1344 1376 1468 1505 1680 1720 1806 1835 2064 2202 2240 2408 2569 2580 2752 2936 3010 3360 3440 3612 3670 4128 4404 4515 4816 5138 5160 5505 5872 6020 6720 6880 7224 7340 7707 8256 8808 9030 9632 10276 10320 11010 11744 12040 12845 13760 14448 14680 15414 15781 17616 18060 19264 20552 20640 22020 23488 24080 25690 28896 29360 30828 31562 35232 36120 38535 41104 41280 44040 47343 48160 51380 57792 58720 61656 63124 70464 72240 77070 78905 82208 88080 94686 96320 102760 110467 117440 123312 126248 144480 154140 157810 164416 176160 189372 205520 220934 236715 246624 252496 288960 308280 315620 331401 352320 378744 411040 441868 473430 493248 504992 552335 616560 631240 662802 757488 822080 883736 946860 1009984 1104670 1233120 1262480 1325604 1514976 1657005 1767472 1893720 2209340 2466240 2524960 2651208 3029952 3314010 3534944 3787440 4418680 5049920 5302416 6628020 7069888 7574880 8837360 10604832 13256040 15149760 17674720 21209664 26512080 35349440 53024160 106048320
- Sum of all divisors σ(n): 394825728
- Sum of proper divisors (its aliquot sum) s(n): 288777408
- 106048320 is an abundant number, because the sum of its proper divisors (288777408) is greater than itself. Its abundance is 182729088
Bases of 106048320
- Binary: 1100101001000101011010000002
- Hexadecimal: 0x6522B40
- Base-36: 1R4ZEO
Squares and roots of 106048320
- 106048320 squared (1060483202) is 11246246174822400
- 106048320 cubed (1060483203) is 1192645513146341818368000
-
The
square root of 106048320 is 10297.9765002645 -
The
cube root of 106048320 is 473.3342502573
Scales and comparisons
How big is 106048320?- 106,048,320 seconds is equal to 3 years, 19 weeks, 2 days, 9 hours, 52 minutes.
-
To count from 1 to 106,048,320 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 106048320 cubic inches would be around 39.4 feet tall.
Recreational maths with 106048320
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 106048320 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 106048320 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/106048320/
Chicago style:
Numbermatics. 2024. "Number 106048320 - Facts about the integer". https://numbermatics.com/n/106048320/
The information we have on file for 106048320 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 106048320, math, Factors of 106048320, curriculum, school, college, exams, university, Prime factorization of 106048320, STEM, science, technology, engineering, physics, economics, calculator, one hundred six million, forty-eight thousand, three hundred twenty.