820125000
820,125,000 is an even composite number composed of three prime numbers multiplied together.
820125000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 820125000:
23 × 38 × 56
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5)See below for interesting mathematical facts about the number 820125000 from the Numbermatics database.
Names of 820125000
- Cardinal: 820125000 can be written as Eight hundred twenty million, one hundred twenty-five thousand.
Scientific notation
- Scientific notation: 8.20125 × 108
Factors of 820125000
Divisors of 820125000
- Number of divisors d(n): 252
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 243 250 270 300 324 360 375 405 450 486 500 540 600 625 648 675 729 750 810 900 972 1000 1080 1125 1215 1250 1350 1458 1500 1620 1800 1875 1944 2025 2187 2250 2430 2500 2700 2916 3000 3125 3240 3375 3645 3750 4050 4374 4500 4860 5000 5400 5625 5832 6075 6250 6561 6750 7290 7500 8100 8748 9000 9375 9720 10125 10935 11250 12150 12500 13122 13500 14580 15000 15625 16200 16875 17496 18225 18750 20250 21870 22500 24300 25000 26244 27000 28125 29160 30375 31250 32805 33750 36450 37500 40500 43740 45000 46875 48600 50625 52488 54675 56250 60750 62500 65610 67500 72900 75000 81000 84375 87480 91125 93750 101250 109350 112500 121500 125000 131220 135000 140625 145800 151875 164025 168750 182250 187500 202500 218700 225000 243000 253125 262440 273375 281250 303750 328050 337500 364500 375000 405000 421875 437400 455625 506250 546750 562500 607500 656100 675000 729000 759375 820125 843750 911250 1012500 1093500 1125000 1215000 1265625 1312200 1366875 1518750 1640250 1687500 1822500 2025000 2187000 2278125 2531250 2733750 3037500 3280500 3375000 3645000 3796875 4100625 4556250 5062500 5467500 6075000 6561000 6834375 7593750 8201250 9112500 10125000 10935000 11390625 13668750 15187500 16402500 18225000 20503125 22781250 27337500 30375000 32805000 34171875 41006250 45562500 54675000 68343750 82012500 91125000 102515625 136687500 164025000 205031250 273375000 410062500 820125000
- Sum of all divisors σ(n): 2883068565
- Sum of proper divisors (its aliquot sum) s(n): 2062943565
- 820125000 is an abundant number, because the sum of its proper divisors (2062943565) is greater than itself. Its abundance is 1242818565
Bases of 820125000
- Binary: 1100001110001000011101010010002
- Hexadecimal: 0x30E21D48
- Base-36: DKA4I0
Squares and roots of 820125000
- 820125000 squared (8201250002) is 672605015625000000
- 820125000 cubed (8201250003) is 551620188439453125000000000
-
The
square root of 820125000 is 28637.8246380551 -
The
cube root of 820125000 is 936.0377203735 - Being both a perfect square and a perfect cube, 820125000 is also a
perfect sixth number .
Scales and comparisons
How big is 820125000?- 820,125,000 seconds is equal to 26 years, 4 weeks, 4 hours, 30 minutes.
-
To count from 1 to 820,125,000 would take you about thirty-nine years!
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 820125000 cubic inches would be around 78 feet tall.
Recreational maths with 820125000
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