6422400
6,422,400 is an even composite number composed of four prime numbers multiplied together.
6422400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 6422400:
27 × 32 × 52 × 223
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 223)See below for interesting mathematical facts about the number 6422400 from the Numbermatics database.
Names of 6422400
- Cardinal: 6422400 can be written as Six million, four hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 6.4224 × 106
Factors of 6422400
Divisors of 6422400
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 223 225 240 288 300 320 360 384 400 446 450 480 576 600 640 669 720 800 892 900 960 1115 1152 1200 1338 1440 1600 1784 1800 1920 2007 2230 2400 2676 2880 3200 3345 3568 3600 4014 4460 4800 5352 5575 5760 6690 7136 7200 8028 8920 9600 10035 10704 11150 13380 14272 14400 16056 16725 17840 20070 21408 22300 26760 28544 28800 32112 33450 35680 40140 42816 44600 50175 53520 64224 66900 71360 80280 85632 89200 100350 107040 128448 133800 142720 160560 178400 200700 214080 256896 267600 321120 356800 401400 428160 535200 642240 713600 802800 1070400 1284480 1605600 2140800 3211200 6422400
- Sum of all divisors σ(n): 23019360
- Sum of proper divisors (its aliquot sum) s(n): 16596960
- 6422400 is an abundant number, because the sum of its proper divisors (16596960) is greater than itself. Its abundance is 10174560
Bases of 6422400
- Binary: 110000111111111100000002
- Hexadecimal: 0x61FF80
- Base-36: 3TNK0
Squares and roots of 6422400
- 6422400 squared (64224002) is 41247221760000
- 6422400 cubed (64224003) is 264906157031424000000
-
The
square root of 6422400 is 2534.2454498331 -
The
cube root of 6422400 is 185.8799086049
Scales and comparisons
How big is 6422400?- 6,422,400 seconds is equal to 10 weeks, 4 days, 8 hours.
-
To count from 1 to 6,422,400 would take you about fifteen 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 6422400 cubic inches would be around 15.5 feet tall.
Recreational maths with 6422400
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 6422400 - Facts about the integer". Numbermatics.com. 2024. Web. 26 April 2024.
APA style:
Numbermatics. (2024). Number 6422400 - Facts about the integer. Retrieved 26 April 2024, from https://numbermatics.com/n/6422400/
Chicago style:
Numbermatics. 2024. "Number 6422400 - Facts about the integer". https://numbermatics.com/n/6422400/
The information we have on file for 6422400 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 6422400, math, Factors of 6422400, curriculum, school, college, exams, university, Prime factorization of 6422400, STEM, science, technology, engineering, physics, economics, calculator, six million, four hundred twenty-two thousand, four hundred.