164085480
164,085,480 is an even composite number composed of six prime numbers multiplied together.
164085480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 164085480:
23 × 33 × 5 × 132 × 29 × 31
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 13 × 29 × 31)See below for interesting mathematical facts about the number 164085480 from the Numbermatics database.
Names of 164085480
- Cardinal: 164085480 can be written as One hundred sixty-four million, eighty-five thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.6408548 × 108
Factors of 164085480
Divisors of 164085480
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 29 30 31 36 39 40 45 52 54 58 60 62 65 72 78 87 90 93 104 108 116 117 120 124 130 135 145 155 156 169 174 180 186 195 216 232 234 248 260 261 270 279 290 310 312 338 348 351 360 372 377 390 403 435 465 468 507 520 522 540 558 580 585 620 676 696 702 744 754 780 783 806 837 845 870 899 930 936 1014 1044 1080 1116 1131 1160 1170 1209 1240 1305 1352 1395 1404 1508 1521 1560 1566 1612 1674 1690 1740 1755 1798 1860 1885 2015 2028 2088 2232 2262 2340 2418 2535 2610 2697 2790 2808 3016 3042 3132 3224 3348 3380 3393 3480 3510 3596 3627 3720 3770 3915 4030 4056 4185 4495 4524 4563 4680 4836 4901 5070 5220 5239 5394 5580 5655 6045 6084 6264 6696 6760 6786 7020 7192 7254 7540 7605 7830 8060 8091 8370 8990 9048 9126 9672 9802 10140 10179 10440 10478 10788 10881 11160 11310 11687 12090 12168 13485 13572 14040 14508 14703 15080 15210 15660 15717 16120 16182 16740 16965 17980 18135 18252 19604 20280 20358 20956 21576 21762 22620 22815 23374 24180 24273 24505 26195 26970 27144 29016 29406 30420 31320 31434 32364 33480 33930 35061 35960 36270 36504 39208 40455 40716 41912 43524 44109 45240 45630 46748 47151 48360 48546 49010 50895 52390 53940 54405 58435 58812 60840 62868 64728 67860 70122 72540 73515 78585 80910 81432 87048 88218 91260 93496 94302 97092 98020 101790 104780 105183 107880 108810 116870 117624 121365 125736 132327 135720 140244 141453 145080 147030 151931 157170 161820 175305 176436 182520 188604 194184 196040 203580 209560 210366 217620 220545 233740 235755 242730 264654 280488 282906 294060 303862 314340 315549 323640 350610 352872 377208 407160 420732 435240 441090 455793 467480 471510 485460 525915 529308 565812 588120 607724 628680 631098 661635 701220 707265 759655 841464 882180 911586 943020 970920 1051830 1058616 1131624 1215448 1262196 1323270 1367379 1402440 1414530 1519310 1577745 1764360 1823172 1886040 2103660 2278965 2524392 2646540 2734758 2829060 3038620 3155490 3646344 4102137 4207320 4557930 5293080 5469516 5658120 6077240 6310980 6836895 8204274 9115860 10939032 12621960 13673790 16408548 18231720 20510685 27347580 32817096 41021370 54695160 82042740 164085480
- Sum of all divisors σ(n): 632448000
- Sum of proper divisors (its aliquot sum) s(n): 468362520
- 164085480 is an abundant number, because the sum of its proper divisors (468362520) is greater than itself. Its abundance is 304277040
Bases of 164085480
- Binary: 10011100011110111110111010002
- Hexadecimal: 0x9C7BEE8
- Base-36: 2POX60
Squares and roots of 164085480
- 164085480 squared (1640854802) is 26924044746830400
- 164085480 cubed (1640854803) is 4417844805825144662592000
-
The
square root of 164085480 is 12809.5854733867 -
The
cube root of 164085480 is 547.4654510007
Scales and comparisons
How big is 164085480?- 164,085,480 seconds is equal to 5 years, 11 weeks, 2 days, 3 hours, 18 minutes.
-
To count from 1 to 164,085,480 would take you about seven 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 164085480 cubic inches would be around 45.6 feet tall.
Recreational maths with 164085480
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