68400
68,400 is an even composite number composed of four prime numbers multiplied together.
68400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety divisors.
Prime factorization of 68400:
24 × 32 × 52 × 19
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 19)See below for interesting mathematical facts about the number 68400 from the Numbermatics database.
Names of 68400
- Cardinal: 68400 can be written as Sixty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 6.84 × 104
Factors of 68400
Divisors of 68400
- Number of divisors d(n): 90
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 36 38 40 45 48 50 57 60 72 75 76 80 90 95 100 114 120 144 150 152 171 180 190 200 225 228 240 285 300 304 342 360 380 400 450 456 475 570 600 684 720 760 855 900 912 950 1140 1200 1368 1425 1520 1710 1800 1900 2280 2736 2850 3420 3600 3800 4275 4560 5700 6840 7600 8550 11400 13680 17100 22800 34200 68400
- Sum of all divisors σ(n): 249860
- Sum of proper divisors (its aliquot sum) s(n): 181460
- 68400 is an abundant number, because the sum of its proper divisors (181460) is greater than itself. Its abundance is 113060
Bases of 68400
- Binary: 100001011001100002
- Hexadecimal: 0x10B30
- Base-36: 1GS0
Squares and roots of 68400
- 68400 squared (684002) is 4678560000
- 68400 cubed (684003) is 320013504000000
-
The
square root of 68400 is 261.5339366125 -
The
cube root of 68400 is 40.8964270567
Scales and comparisons
How big is 68400?- 68,400 seconds is equal to 19 hours.
-
To count from 1 to 68,400 would take you about nineteen hours.
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 68400 cubic inches would be around 3.4 feet tall.
Recreational maths with 68400
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 68400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 April 2024.
APA style:
Numbermatics. (2024). Number 68400 - Facts about the integer. Retrieved 24 April 2024, from https://numbermatics.com/n/68400/
Chicago style:
Numbermatics. 2024. "Number 68400 - Facts about the integer". https://numbermatics.com/n/68400/
The information we have on file for 68400 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 68400, math, Factors of 68400, curriculum, school, college, exams, university, Prime factorization of 68400, STEM, science, technology, engineering, physics, economics, calculator, sixty-eight thousand, four hundred.