1338120
1,338,120 is an even composite number composed of five prime numbers multiplied together.
1338120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 1338120:
23 × 34 × 5 × 7 × 59
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 59)See below for interesting mathematical facts about the number 1338120 from the Numbermatics database.
Names of 1338120
- Cardinal: 1338120 can be written as One million, three hundred thirty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.33812 × 106
Factors of 1338120
Divisors of 1338120
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 59 60 63 70 72 81 84 90 105 108 118 120 126 135 140 162 168 177 180 189 210 216 236 252 270 280 295 315 324 354 360 378 405 413 420 472 504 531 540 567 590 630 648 708 756 810 826 840 885 945 1062 1080 1134 1180 1239 1260 1416 1512 1593 1620 1652 1770 1890 2065 2124 2268 2360 2478 2520 2655 2835 3186 3240 3304 3540 3717 3780 4130 4248 4536 4779 4956 5310 5670 6195 6372 7080 7434 7560 7965 8260 9558 9912 10620 11151 11340 12390 12744 14868 15930 16520 18585 19116 21240 22302 22680 23895 24780 29736 31860 33453 37170 38232 44604 47790 49560 55755 63720 66906 74340 89208 95580 111510 133812 148680 167265 191160 223020 267624 334530 446040 669060 1338120
- Sum of all divisors σ(n): 5227200
- Sum of proper divisors (its aliquot sum) s(n): 3889080
- 1338120 is an abundant number, because the sum of its proper divisors (3889080) is greater than itself. Its abundance is 2550960
Bases of 1338120
- Binary: 1010001101011000010002
- Hexadecimal: 0x146B08
- Base-36: SOI0
Squares and roots of 1338120
- 1338120 squared (13381202) is 1790565134400
- 1338120 cubed (13381203) is 2395991017643328000
-
The
square root of 1338120 is 1156.7713689403 -
The
cube root of 1338120 is 110.1957945395
Scales and comparisons
How big is 1338120?- 1,338,120 seconds is equal to 2 weeks, 1 day, 11 hours, 42 minutes.
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To count from 1 to 1,338,120 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 1338120 cubic inches would be around 9.2 feet tall.
Recreational maths with 1338120
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The information we have on file for 1338120 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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