5006400
5,006,400 is an even composite number composed of five prime numbers multiplied together.
5006400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 5006400:
26 × 3 × 52 × 7 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 149)See below for interesting mathematical facts about the number 5006400 from the Numbermatics database.
Names of 5006400
- Cardinal: 5006400 can be written as Five million, six thousand, four hundred.
Scientific notation
- Scientific notation: 5.0064 × 106
Factors of 5006400
Divisors of 5006400
- Number of divisors d(n): 168
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 140 149 150 160 168 175 192 200 210 224 240 280 298 300 320 336 350 400 420 447 448 480 525 560 596 600 672 700 745 800 840 894 960 1043 1050 1120 1192 1200 1344 1400 1490 1600 1680 1788 2086 2100 2235 2240 2384 2400 2800 2980 3129 3360 3576 3725 4172 4200 4470 4768 4800 5215 5600 5960 6258 6720 7152 7450 8344 8400 8940 9536 10430 11175 11200 11920 12516 14304 14900 15645 16688 16800 17880 20860 22350 23840 25032 26075 28608 29800 31290 33376 33600 35760 41720 44700 47680 50064 52150 59600 62580 66752 71520 78225 83440 89400 100128 104300 119200 125160 143040 156450 166880 178800 200256 208600 238400 250320 312900 333760 357600 417200 500640 625800 715200 834400 1001280 1251600 1668800 2503200 5006400
- Sum of all divisors σ(n): 18897600
- Sum of proper divisors (its aliquot sum) s(n): 13891200
- 5006400 is an abundant number, because the sum of its proper divisors (13891200) is greater than itself. Its abundance is 8884800
Bases of 5006400
- Binary: 100110001100100010000002
- Hexadecimal: 0x4C6440
- Base-36: 2ZAYO
Squares and roots of 5006400
- 5006400 squared (50064002) is 25064040960000
- 5006400 cubed (50064003) is 125480614662144000000
-
The
square root of 5006400 is 2237.4986033513 -
The
cube root of 5006400 is 171.0705225343
Scales and comparisons
How big is 5006400?- 5,006,400 seconds is equal to 8 weeks, 1 day, 22 hours, 40 minutes.
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To count from 1 to 5,006,400 would take you about twelve 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 5006400 cubic inches would be around 14.3 feet tall.
Recreational maths with 5006400
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The information we have on file for 5006400 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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