1328800
1,328,800 is an even composite number composed of four prime numbers multiplied together.
1328800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 1328800:
25 × 52 × 11 × 151
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 151)See below for interesting mathematical facts about the number 1328800 from the Numbermatics database.
Names of 1328800
- Cardinal: 1328800 can be written as One million, three hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.3288 × 106
Factors of 1328800
Divisors of 1328800
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 151 160 176 200 220 275 302 352 400 440 550 604 755 800 880 1100 1208 1510 1661 1760 2200 2416 3020 3322 3775 4400 4832 6040 6644 7550 8305 8800 12080 13288 15100 16610 24160 26576 30200 33220 41525 53152 60400 66440 83050 120800 132880 166100 265760 332200 664400 1328800
- Sum of all divisors σ(n): 3562272
- Sum of proper divisors (its aliquot sum) s(n): 2233472
- 1328800 is an abundant number, because the sum of its proper divisors (2233472) is greater than itself. Its abundance is 904672
Bases of 1328800
- Binary: 1010001000110101000002
- Hexadecimal: 0x1446A0
- Base-36: SHB4
Squares and roots of 1328800
- 1328800 squared (13288002) is 1765709440000
- 1328800 cubed (13288003) is 2346274703872000000
-
The
square root of 1328800 is 1152.7358760791 -
The
cube root of 1328800 is 109.9393605169
Scales and comparisons
How big is 1328800?- 1,328,800 seconds is equal to 2 weeks, 1 day, 9 hours, 6 minutes, 40 seconds.
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To count from 1 to 1,328,800 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 1328800 cubic inches would be around 9.2 feet tall.
Recreational maths with 1328800
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The information we have on file for 1328800 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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