1268800
1,268,800 is an even composite number composed of four prime numbers multiplied together.
1268800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 1268800:
26 × 52 × 13 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 61)See below for interesting mathematical facts about the number 1268800 from the Numbermatics database.
Names of 1268800
- Cardinal: 1268800 can be written as One million, two hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.2688 × 106
Factors of 1268800
Divisors of 1268800
- Number of divisors d(n): 84
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 61 64 65 80 100 104 122 130 160 200 208 244 260 305 320 325 400 416 488 520 610 650 793 800 832 976 1040 1220 1300 1525 1586 1600 1952 2080 2440 2600 3050 3172 3904 3965 4160 4880 5200 6100 6344 7930 9760 10400 12200 12688 15860 19520 19825 20800 24400 25376 31720 39650 48800 50752 63440 79300 97600 126880 158600 253760 317200 634400 1268800
- Sum of all divisors σ(n): 3417316
- Sum of proper divisors (its aliquot sum) s(n): 2148516
- 1268800 is an abundant number, because the sum of its proper divisors (2148516) is greater than itself. Its abundance is 879716
Bases of 1268800
- Binary: 1001101011100010000002
- Hexadecimal: 0x135C40
- Base-36: R70G
Squares and roots of 1268800
- 1268800 squared (12688002) is 1609853440000
- 1268800 cubed (12688003) is 2042582044672000000
-
The
square root of 1268800 is 1126.4102272261 -
The
cube root of 1268800 is 108.2590944363
Scales and comparisons
How big is 1268800?- 1,268,800 seconds is equal to 2 weeks, 16 hours, 26 minutes, 40 seconds.
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To count from 1 to 1,268,800 would take you about three 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 1268800 cubic inches would be around 9 feet tall.
Recreational maths with 1268800
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The information we have on file for 1268800 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!
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