106465968
106,465,968 is an even composite number composed of six prime numbers multiplied together.
106465968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 106465968:
24 × 33 × 7 × 17 × 19 × 109
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 17 × 19 × 109)See below for interesting mathematical facts about the number 106465968 from the Numbermatics database.
Names of 106465968
- Cardinal: 106465968 can be written as One hundred six million, four hundred sixty-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.06465968 × 108
Factors of 106465968
Divisors of 106465968
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 27 28 34 36 38 42 48 51 54 56 57 63 68 72 76 84 102 108 109 112 114 119 126 133 136 144 152 153 168 171 189 204 216 218 228 238 252 266 272 304 306 323 327 336 342 357 378 399 408 432 436 456 459 476 504 513 532 612 646 654 684 714 756 763 798 816 872 912 918 952 969 981 1008 1026 1064 1071 1197 1224 1292 1308 1368 1428 1512 1526 1596 1744 1836 1853 1904 1938 1962 2052 2071 2128 2142 2261 2289 2394 2448 2584 2616 2736 2856 2907 2943 3024 3052 3192 3213 3591 3672 3706 3876 3924 4104 4142 4284 4522 4578 4788 5168 5232 5559 5712 5814 5886 6104 6213 6384 6426 6783 6867 7182 7344 7412 7752 7848 8208 8284 8568 8721 9044 9156 9576 11118 11628 11772 12208 12426 12852 12971 13566 13734 14364 14497 14824 15504 15696 16568 16677 17136 17442 18088 18312 18639 19152 20349 20601 22236 23256 23544 24852 25704 25942 27132 27468 28728 28994 29648 33136 33354 34884 35207 36176 36624 37278 38913 40698 41202 43491 44472 46512 47088 49704 50031 51408 51884 54264 54936 55917 57456 57988 61047 66708 69768 70414 74556 77826 81396 82404 86982 88944 99408 100062 103768 105621 108528 109872 111834 115976 116739 122094 130473 133416 139536 140828 149112 155652 162792 164808 173964 200124 207536 211242 223668 231952 233478 244188 246449 260946 266832 281656 298224 311304 316863 325584 329616 347928 350217 391419 400248 422484 447336 466956 488376 492898 521892 563312 622608 633726 695856 700434 739347 782838 800496 844968 894672 933912 950589 976752 985796 1043784 1267452 1400868 1478694 1565676 1689936 1867824 1901178 1971592 2087568 2218041 2534904 2801736 2957388 3131352 3802356 3943184 4436082 5069808 5603472 5914776 6262704 6654123 7604712 8872164 11829552 13308246 15209424 17744328 26616492 35488656 53232984 106465968
- Sum of all divisors σ(n): 392832000
- Sum of proper divisors (its aliquot sum) s(n): 286366032
- 106465968 is an abundant number, because the sum of its proper divisors (286366032) is greater than itself. Its abundance is 179900064
Bases of 106465968
- Binary: 1100101100010001010101100002
- Hexadecimal: 0x6588AB0
- Base-36: 1RDXO0
Squares and roots of 106465968
- 106465968 squared (1064659682) is 11335002342177024
- 106465968 cubed (1064659683) is 1206791996642144087519232
-
The
square root of 106465968 is 10318.2347327437 -
The
cube root of 106465968 is 473.9548106255
Scales and comparisons
How big is 106465968?- 106,465,968 seconds is equal to 3 years, 20 weeks, 5 hours, 52 minutes, 48 seconds.
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To count from 1 to 106,465,968 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 106465968 cubic inches would be around 39.5 feet tall.
Recreational maths with 106465968
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The information we have on file for 106465968 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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