106338960
106,338,960 is an even composite number composed of six prime numbers multiplied together.
106338960 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 106338960:
24 × 33 × 5 × 7 × 13 × 541
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 541)See below for interesting mathematical facts about the number 106338960 from the Numbermatics database.
Names of 106338960
- Cardinal: 106338960 can be written as One hundred six million, three hundred thirty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.0633896 × 108
Factors of 106338960
Divisors of 106338960
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 35 36 39 40 42 45 48 52 54 56 60 63 65 70 72 78 80 84 90 91 104 105 108 112 117 120 126 130 135 140 144 156 168 180 182 189 195 208 210 216 234 240 252 260 270 273 280 312 315 336 351 360 364 378 390 420 432 455 468 504 520 540 541 546 560 585 624 630 702 720 728 756 780 819 840 910 936 945 1008 1040 1080 1082 1092 1170 1260 1365 1404 1456 1512 1560 1623 1638 1680 1755 1820 1872 1890 2160 2164 2184 2340 2457 2520 2705 2730 2808 3024 3120 3246 3276 3510 3640 3780 3787 4095 4328 4368 4680 4869 4914 5040 5410 5460 5616 6492 6552 7020 7033 7280 7560 7574 8115 8190 8656 9360 9738 9828 10820 10920 11361 12285 12984 13104 14040 14066 14607 15120 15148 16230 16380 18935 19476 19656 21099 21640 21840 22722 24345 24570 25968 28080 28132 29214 30296 32460 32760 34083 35165 37870 38952 39312 42198 43280 45444 48690 49140 49231 56264 56805 58428 60592 63297 64920 65520 68166 70330 73035 75740 77904 84396 90888 97380 98280 98462 102249 105495 112528 113610 116856 126594 129840 136332 140660 146070 147693 151480 168792 170415 181776 189891 194760 196560 196924 204498 210990 227220 233712 246155 253188 272664 281320 292140 295386 302960 316485 337584 340830 379782 389520 393848 408996 421980 443079 454440 492310 506376 511245 545328 562640 584280 590772 632970 681660 738465 759564 787696 817992 843960 886158 908880 949455 984620 1012752 1022490 1168560 1181544 1265940 1329237 1363320 1476930 1519128 1635984 1687920 1772316 1898910 1969240 2044980 2215395 2363088 2531880 2658474 2726640 2953860 3038256 3544632 3797820 3938480 4089960 4430790 5063760 5316948 5907720 6646185 7089264 7595640 8179920 8861580 10633896 11815440 13292370 15191280 17723160 21267792 26584740 35446320 53169480 106338960
- Sum of all divisors σ(n): 451637760
- Sum of proper divisors (its aliquot sum) s(n): 345298800
- 106338960 is an abundant number, because the sum of its proper divisors (345298800) is greater than itself. Its abundance is 238959840
Bases of 106338960
- Binary: 1100101011010011010100100002
- Hexadecimal: 0x6569A90
- Base-36: 1RB7O0
Squares and roots of 106338960
- 106338960 squared (1063389602) is 11307974413881600
- 106338960 cubed (1063389603) is 1202478238878778907136000
-
The
square root of 106338960 is 10312.0783550165 -
The
cube root of 106338960 is 473.7662683571
Scales and comparisons
How big is 106338960?- 106,338,960 seconds is equal to 3 years, 19 weeks, 5 days, 18 hours, 36 minutes.
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To count from 1 to 106,338,960 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 106338960 cubic inches would be around 39.5 feet tall.
Recreational maths with 106338960
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