106426980
106,426,980 is an even composite number composed of seven prime numbers multiplied together.
106426980 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 106426980:
22 × 33 × 5 × 11 × 19 × 23 × 41
(2 × 2 × 3 × 3 × 3 × 5 × 11 × 19 × 23 × 41)See below for interesting mathematical facts about the number 106426980 from the Numbermatics database.
Names of 106426980
- Cardinal: 106426980 can be written as One hundred six million, four hundred twenty-six thousand, nine hundred eighty.
Scientific notation
- Scientific notation: 1.0642698 × 108
Factors of 106426980
Divisors of 106426980
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 23 27 30 33 36 38 41 44 45 46 54 55 57 60 66 69 76 82 90 92 95 99 108 110 114 115 123 132 135 138 164 165 171 180 190 198 205 207 209 220 228 230 246 253 270 276 285 297 330 342 345 369 380 396 410 414 418 437 451 460 492 495 506 513 540 570 594 615 621 627 660 684 690 738 759 779 820 828 836 855 874 902 943 990 1012 1026 1035 1045 1107 1140 1188 1230 1242 1254 1265 1311 1353 1380 1476 1485 1518 1558 1710 1748 1804 1845 1881 1886 1980 2052 2070 2090 2185 2214 2255 2277 2337 2460 2484 2508 2530 2565 2622 2706 2829 2970 3036 3105 3116 3135 3420 3690 3762 3772 3795 3895 3933 4059 4140 4180 4370 4428 4510 4554 4674 4715 4807 5060 5130 5244 5412 5535 5643 5658 5940 6210 6270 6555 6765 6831 7011 7380 7524 7590 7790 7866 8118 8487 8569 8740 9020 9108 9348 9405 9430 9614 10260 10373 11070 11286 11316 11385 11685 11799 12177 12420 12540 13110 13530 13662 14022 14145 14421 15180 15580 15732 16236 16974 17138 17917 18810 18860 19228 19665 20295 20746 21033 22140 22572 22770 23370 23598 24035 24354 25461 25707 26220 27060 27324 28044 28215 28290 28842 31119 33948 34155 34276 35055 35834 37620 39330 40590 41492 42066 42435 42845 43263 45540 46740 47196 48070 48708 50922 51414 51865 53751 56430 56580 57684 58995 60885 62238 68310 70110 71668 72105 77121 78660 81180 84132 84870 85690 86526 89585 93357 96140 101844 102828 103730 105165 107502 112860 117990 121770 124476 127305 128535 129789 136620 140220 144210 154242 155595 161253 169740 171380 173052 179170 186714 197087 207460 210330 215004 216315 231363 235980 243540 254610 257070 259578 268755 280071 288420 308484 311190 322506 358340 373428 385605 394174 420660 432630 462726 466785 483759 509220 514140 519156 537510 560142 591261 622380 645012 648945 771210 788348 806265 865260 925452 933570 967518 985435 1075020 1120284 1156815 1182522 1297890 1400355 1542420 1612530 1773783 1867140 1935036 1970870 2313630 2365044 2418795 2595780 2800710 2956305 3225060 3547566 3941740 4627260 4837590 5321349 5601420 5912610 7095132 8868915 9675180 10642698 11825220 17737830 21285396 26606745 35475660 53213490 106426980
- Sum of all divisors σ(n): 406425600
- Sum of proper divisors (its aliquot sum) s(n): 299998620
- 106426980 is an abundant number, because the sum of its proper divisors (299998620) is greater than itself. Its abundance is 193571640
Bases of 106426980
- Binary: 1100101011111110010011001002
- Hexadecimal: 0x657F264
- Base-36: 1RD3L0
Squares and roots of 106426980
- 106426980 squared (1064269802) is 11326702071920400
- 106426980 cubed (1064269803) is 1205466694874230972392000
-
The
square root of 106426980 is 10316.3452830933 -
The
cube root of 106426980 is 473.8969492369
Scales and comparisons
How big is 106426980?- 106,426,980 seconds is equal to 3 years, 19 weeks, 6 days, 19 hours, 3 minutes.
-
To count from 1 to 106,426,980 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 106426980 cubic inches would be around 39.5 feet tall.
Recreational maths with 106426980
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