85382100
85,382,100 is an even composite number composed of five prime numbers multiplied together.
85382100 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 85382100:
22 × 34 × 52 × 83 × 127
(2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 83 × 127)See below for interesting mathematical facts about the number 85382100 from the Numbermatics database.
Names of 85382100
- Cardinal: 85382100 can be written as Eighty-five million, three hundred eighty-two thousand, one hundred.
Scientific notation
- Scientific notation: 8.53821 × 107
Factors of 85382100
Divisors of 85382100
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 83 90 100 108 127 135 150 162 166 180 225 249 254 270 300 324 332 381 405 415 450 498 508 540 635 675 747 762 810 830 900 996 1143 1245 1270 1350 1494 1524 1620 1660 1905 2025 2075 2241 2286 2490 2540 2700 2988 3175 3429 3735 3810 4050 4150 4482 4572 4980 5715 6225 6350 6723 6858 7470 7620 8100 8300 8964 9525 10287 10541 11205 11430 12450 12700 13446 13716 14940 17145 18675 19050 20574 21082 22410 22860 24900 26892 28575 31623 33615 34290 37350 38100 41148 42164 44820 51435 52705 56025 57150 63246 67230 68580 74700 85725 94869 102870 105410 112050 114300 126492 134460 158115 168075 171450 189738 205740 210820 224100 257175 263525 284607 316230 336150 342900 379476 474345 514350 527050 569214 632460 672300 790575 853821 948690 1028700 1054100 1138428 1423035 1581150 1707642 1897380 2371725 2846070 3162300 3415284 4269105 4743450 5692140 7115175 8538210 9486900 14230350 17076420 21345525 28460700 42691050 85382100
- Sum of all divisors σ(n): 282315264
- Sum of proper divisors (its aliquot sum) s(n): 196933164
- 85382100 is an abundant number, because the sum of its proper divisors (196933164) is greater than itself. Its abundance is 111551064
Bases of 85382100
- Binary: 1010001011011010011110101002
- Hexadecimal: 0x516D3D4
- Base-36: 1EU190
Squares and roots of 85382100
- 85382100 squared (853821002) is 7290103000410000
- 85382100 cubed (853821003) is 622444303391306661000000
-
The
square root of 85382100 is 9240.2435032849 -
The
cube root of 85382100 is 440.3408172073
Scales and comparisons
How big is 85382100?- 85,382,100 seconds is equal to 2 years, 37 weeks, 1 day, 5 hours, 15 minutes.
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To count from 1 to 85,382,100 would take you about four 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 85382100 cubic inches would be around 36.7 feet tall.
Recreational maths with 85382100
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