106868160
106,868,160 is an even composite number composed of six prime numbers multiplied together.
106868160 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred sixty divisors.
Prime factorization of 106868160:
26 × 34 × 5 × 7 × 19 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 19 × 31)See below for interesting mathematical facts about the number 106868160 from the Numbermatics database.
Names of 106868160
- Cardinal: 106868160 can be written as One hundred six million, eight hundred sixty-eight thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.0686816 × 108
Factors of 106868160
Divisors of 106868160
- Number of divisors d(n): 560
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 27 28 30 31 32 35 36 38 40 42 45 48 54 56 57 60 62 63 64 70 72 76 80 81 84 90 93 95 96 105 108 112 114 120 124 126 133 135 140 144 152 155 160 162 168 171 180 186 189 190 192 210 216 217 224 228 240 248 252 266 270 279 280 285 288 304 310 315 320 324 336 342 360 372 378 380 399 405 420 432 434 448 456 465 480 496 504 513 532 540 558 560 567 570 576 589 608 620 630 648 651 665 672 684 720 744 756 760 798 810 837 840 855 864 868 912 930 945 960 992 1008 1026 1064 1080 1085 1116 1120 1134 1140 1178 1197 1216 1240 1260 1296 1302 1330 1344 1368 1395 1440 1488 1512 1520 1539 1596 1620 1674 1680 1710 1728 1736 1767 1824 1860 1890 1953 1984 1995 2016 2052 2128 2160 2170 2232 2240 2268 2280 2356 2394 2480 2511 2520 2565 2592 2604 2660 2736 2790 2835 2880 2945 2976 3024 3040 3078 3192 3240 3255 3348 3360 3420 3472 3534 3591 3648 3720 3780 3906 3990 4032 4104 4123 4185 4256 4320 4340 4464 4536 4560 4712 4788 4960 5022 5040 5130 5184 5208 5301 5320 5472 5580 5670 5859 5890 5952 5985 6048 6080 6156 6384 6480 6510 6696 6720 6840 6944 7068 7182 7440 7560 7695 7812 7980 8208 8246 8370 8512 8640 8680 8835 8928 9072 9120 9424 9576 9765 9920 10044 10080 10260 10416 10602 10640 10773 10944 11160 11340 11718 11780 11970 12096 12312 12369 12555 12768 12960 13020 13392 13680 13888 14136 14364 14880 15120 15390 15624 15903 15960 16416 16492 16740 17360 17577 17670 17856 17955 18144 18240 18848 19152 19530 20088 20160 20520 20615 20832 21204 21280 21546 22320 22680 23436 23560 23940 24624 24738 25110 25536 25920 26040 26505 26784 27360 28272 28728 29295 29760 30240 30780 31248 31806 31920 32832 32984 33480 34720 35154 35340 35910 36288 37107 37696 38304 39060 40176 41040 41230 41664 42408 42560 43092 44640 45360 46872 47120 47709 47880 49248 49476 50220 52080 53010 53568 53865 54720 56544 57456 58590 60480 61560 61845 62496 63612 63840 65968 66960 69440 70308 70680 71820 74214 76608 78120 79515 80352 82080 82460 84816 86184 87885 89280 90720 93744 94240 95418 95760 98496 98952 100440 104160 106020 107730 111321 113088 114912 117180 123120 123690 124992 127224 127680 131936 133920 140616 141360 143640 148428 156240 159030 160704 164160 164920 169632 172368 175770 181440 185535 187488 188480 190836 191520 197904 200880 208320 212040 215460 222642 229824 234360 238545 246240 247380 254448 263872 267840 281232 282720 287280 296856 312480 318060 329840 333963 339264 344736 351540 371070 374976 381672 383040 395808 401760 424080 430920 445284 468720 477090 492480 494760 508896 556605 562464 565440 574560 593712 624960 636120 659680 667926 689472 703080 742140 763344 791616 803520 848160 861840 890568 937440 954180 989520 1017792 1113210 1124928 1149120 1187424 1272240 1319360 1335852 1406160 1484280 1526688 1669815 1696320 1723680 1781136 1874880 1908360 1979040 2226420 2374848 2544480 2671704 2812320 2968560 3053376 3339630 3447360 3562272 3816720 3958080 4452840 5088960 5343408 5624640 5937120 6679260 7124544 7633440 8905680 10686816 11874240 13358520 15266880 17811360 21373632 26717040 35622720 53434080 106868160
- Sum of all divisors σ(n): 472074240
- Sum of proper divisors (its aliquot sum) s(n): 365206080
- 106868160 is an abundant number, because the sum of its proper divisors (365206080) is greater than itself. Its abundance is 258337920
Bases of 106868160
- Binary: 1100101111010101101110000002
- Hexadecimal: 0x65EADC0
- Base-36: 1RMK00
Squares and roots of 106868160
- 106868160 squared (1068681602) is 11420803621785600
- 106868160 cubed (1068681603) is 1220520268781562986496000
-
The
square root of 106868160 is 10337.7057416043 -
The
cube root of 106868160 is 474.5508737177
Scales and comparisons
How big is 106868160?- 106,868,160 seconds is equal to 3 years, 20 weeks, 4 days, 21 hours, 36 minutes.
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To count from 1 to 106,868,160 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 106868160 cubic inches would be around 39.5 feet tall.
Recreational maths with 106868160
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