2042400
2,042,400 is an even composite number composed of five prime numbers multiplied together.
2042400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 2042400:
25 × 3 × 52 × 23 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 37)See below for interesting mathematical facts about the number 2042400 from the Numbermatics database.
Names of 2042400
- Cardinal: 2042400 can be written as Two million, forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.0424 × 106
Factors of 2042400
Divisors of 2042400
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 37 40 46 48 50 60 69 74 75 80 92 96 100 111 115 120 138 148 150 160 184 185 200 222 230 240 276 296 300 345 368 370 400 444 460 480 552 555 575 592 600 690 736 740 800 851 888 920 925 1104 1110 1150 1184 1200 1380 1480 1702 1725 1776 1840 1850 2208 2220 2300 2400 2553 2760 2775 2960 3404 3450 3552 3680 3700 4255 4440 4600 5106 5520 5550 5920 6808 6900 7400 8510 8880 9200 10212 11040 11100 12765 13616 13800 14800 17020 17760 18400 20424 21275 22200 25530 27232 27600 29600 34040 40848 42550 44400 51060 55200 63825 68080 81696 85100 88800 102120 127650 136160 170200 204240 255300 340400 408480 510600 680800 1021200 2042400
- Sum of all divisors σ(n): 7124544
- Sum of proper divisors (its aliquot sum) s(n): 5082144
- 2042400 is an abundant number, because the sum of its proper divisors (5082144) is greater than itself. Its abundance is 3039744
Bases of 2042400
- Binary: 1111100101010001000002
- Hexadecimal: 0x1F2A20
- Base-36: 17RXC
Squares and roots of 2042400
- 2042400 squared (20424002) is 4171397760000
- 2042400 cubed (20424003) is 8519662785024000000
-
The
square root of 2042400 is 1429.1256067959 -
The
cube root of 2042400 is 126.8762305041
Scales and comparisons
How big is 2042400?- 2,042,400 seconds is equal to 3 weeks, 2 days, 15 hours, 20 minutes.
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To count from 1 to 2,042,400 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 2042400 cubic inches would be around 10.6 feet tall.
Recreational maths with 2042400
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The information we have on file for 2042400 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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