106310400
106,310,400 is an even composite number composed of five prime numbers multiplied together.
106310400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 106310400:
28 × 3 × 52 × 72 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 113)See below for interesting mathematical facts about the number 106310400 from the Numbermatics database.
Names of 106310400
- Cardinal: 106310400 can be written as One hundred six million, three hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 1.063104 × 108
Factors of 106310400
Divisors of 106310400
- Number of divisors d(n): 324
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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 49 50 56 60 64 70 75 80 84 96 98 100 105 112 113 120 128 140 147 150 160 168 175 192 196 200 210 224 226 240 245 256 280 294 300 320 336 339 350 384 392 400 420 448 452 480 490 525 560 565 588 600 640 672 678 700 735 768 784 791 800 840 896 904 960 980 1050 1120 1130 1176 1200 1225 1280 1344 1356 1400 1470 1568 1582 1600 1680 1695 1792 1808 1920 1960 2100 2240 2260 2352 2373 2400 2450 2688 2712 2800 2825 2940 3136 3164 3200 3360 3390 3616 3675 3840 3920 3955 4200 4480 4520 4704 4746 4800 4900 5376 5424 5537 5600 5650 5880 6272 6328 6400 6720 6780 7232 7350 7840 7910 8400 8475 8960 9040 9408 9492 9600 9800 10848 11074 11200 11300 11760 11865 12544 12656 13440 13560 14464 14700 15680 15820 16611 16800 16950 18080 18816 18984 19200 19600 19775 21696 22148 22400 22600 23520 23730 25312 26880 27120 27685 28928 29400 31360 31640 33222 33600 33900 36160 37632 37968 39200 39550 43392 44296 44800 45200 47040 47460 50624 54240 55370 58800 59325 62720 63280 66444 67200 67800 72320 75936 78400 79100 83055 86784 88592 90400 94080 94920 101248 108480 110740 117600 118650 126560 132888 134400 135600 138425 144640 151872 156800 158200 166110 177184 180800 188160 189840 202496 216960 221480 235200 237300 253120 265776 271200 276850 303744 313600 316400 332220 354368 361600 379680 415275 433920 442960 470400 474600 506240 531552 542400 553700 607488 632800 664440 708736 723200 759360 830550 885920 940800 949200 1012480 1063104 1084800 1107400 1265600 1328880 1417472 1518720 1661100 1771840 1898400 2126208 2169600 2214800 2531200 2657760 3037440 3322200 3543680 3796800 4252416 4429600 5062400 5315520 6644400 7087360 7593600 8859200 10631040 13288800 15187200 17718400 21262080 26577600 35436800 53155200 106310400
- Sum of all divisors σ(n): 411739272
- Sum of proper divisors (its aliquot sum) s(n): 305428872
- 106310400 is an abundant number, because the sum of its proper divisors (305428872) is greater than itself. Its abundance is 199118472
Bases of 106310400
- Binary: 1100101011000101011000000002
- Hexadecimal: 0x6562B00
- Base-36: 1RALMO
Squares and roots of 106310400
- 106310400 squared (1063104002) is 11301901148160000
- 106310400 cubed (1063104003) is 1201509631821348864000000
-
The
square root of 106310400 is 10310.6934781323 -
The
cube root of 106310400 is 473.7238506137
Scales and comparisons
How big is 106310400?- 106,310,400 seconds is equal to 3 years, 19 weeks, 5 days, 10 hours, 40 minutes.
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To count from 1 to 106,310,400 would take you about five 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 106310400 cubic inches would be around 39.5 feet tall.
Recreational maths with 106310400
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