2138400
2,138,400 is an even composite number composed of four prime numbers multiplied together.
2138400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 2138400:
25 × 35 × 52 × 11
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11)See below for interesting mathematical facts about the number 2138400 from the Numbermatics database.
Names of 2138400
- Cardinal: 2138400 can be written as Two million, one hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.1384 × 106
Factors of 2138400
Divisors of 2138400
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 66 72 75 80 81 88 90 96 99 100 108 110 120 132 135 144 150 160 162 165 176 180 198 200 216 220 225 240 243 264 270 275 288 297 300 324 330 352 360 396 400 405 432 440 450 480 486 495 528 540 550 594 600 648 660 675 720 792 800 810 825 864 880 891 900 972 990 1056 1080 1100 1188 1200 1215 1296 1320 1350 1440 1485 1584 1620 1650 1760 1782 1800 1944 1980 2025 2160 2200 2376 2400 2430 2475 2592 2640 2673 2700 2970 3168 3240 3300 3564 3600 3888 3960 4050 4320 4400 4455 4752 4860 4950 5280 5346 5400 5940 6075 6480 6600 7128 7200 7425 7776 7920 8100 8800 8910 9504 9720 9900 10692 10800 11880 12150 12960 13200 13365 14256 14850 15840 16200 17820 19440 19800 21384 21600 22275 23760 24300 26400 26730 28512 29700 32400 35640 38880 39600 42768 44550 47520 48600 53460 59400 64800 66825 71280 79200 85536 89100 97200 106920 118800 133650 142560 178200 194400 213840 237600 267300 356400 427680 534600 712800 1069200 2138400
- Sum of all divisors σ(n): 8530704
- Sum of proper divisors (its aliquot sum) s(n): 6392304
- 2138400 is an abundant number, because the sum of its proper divisors (6392304) is greater than itself. Its abundance is 4253904
Bases of 2138400
- Binary: 10000010100001001000002
- Hexadecimal: 0x20A120
- Base-36: 19U00
Squares and roots of 2138400
- 2138400 squared (21384002) is 4572754560000
- 2138400 cubed (21384003) is 9778378351104000000
-
The
square root of 2138400 is 1462.3269128345 -
The
cube root of 2138400 is 128.8337501411
Scales and comparisons
How big is 2138400?- 2,138,400 seconds is equal to 3 weeks, 3 days, 18 hours.
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To count from 1 to 2,138,400 would take you about five 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 2138400 cubic inches would be around 10.7 feet tall.
Recreational maths with 2138400
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The information we have on file for 2138400 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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