106824400
106,824,400 is an even composite number composed of four prime numbers multiplied together.
106824400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty divisors.
Prime factorization of 106824400:
24 × 52 × 29 × 9209
(2 × 2 × 2 × 2 × 5 × 5 × 29 × 9209)See below for interesting mathematical facts about the number 106824400 from the Numbermatics database.
Names of 106824400
- Cardinal: 106824400 can be written as One hundred six million, eight hundred twenty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.068244 × 108
Factors of 106824400
Divisors of 106824400
- Number of divisors d(n): 60
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 9209 11600 18418 36836 46045 73672 92090 147344 184180 230225 267061 368360 460450 534122 736720 920900 1068244 1335305 1841800 2136488 2670610 3683600 4272976 5341220 6676525 10682440 13353050 21364880 26706100 53412200 106824400
- Sum of all divisors σ(n): 265524300
- Sum of proper divisors (its aliquot sum) s(n): 158699900
- 106824400 is an abundant number, because the sum of its proper divisors (158699900) is greater than itself. Its abundance is 51875500
Bases of 106824400
- Binary: 1100101111000000010110100002
- Hexadecimal: 0x65E02D0
- Base-36: 1RLM8G
Squares and roots of 106824400
- 106824400 squared (1068244002) is 11411452435360000
- 106824400 cubed (1068244003) is 1219021559535870784000000
-
The
square root of 106824400 is 10335.5890011165 -
The
cube root of 106824400 is 474.4860923979
Scales and comparisons
How big is 106824400?- 106,824,400 seconds is equal to 3 years, 20 weeks, 4 days, 9 hours, 26 minutes, 40 seconds.
-
To count from 1 to 106,824,400 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 106824400 cubic inches would be around 39.5 feet tall.
Recreational maths with 106824400
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