30073680
30,073,680 is an even composite number composed of six prime numbers multiplied together.
30073680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 30073680:
24 × 35 × 5 × 7 × 13 × 17
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 17)See below for interesting mathematical facts about the number 30073680 from the Numbermatics database.
Names of 30073680
- Cardinal: 30073680 can be written as Thirty million, seventy-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 3.007368 × 107
Factors of 30073680
Divisors of 30073680
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 26 27 28 30 34 35 36 39 40 42 45 48 51 52 54 56 60 63 65 68 70 72 78 80 81 84 85 90 91 102 104 105 108 112 117 119 120 126 130 135 136 140 144 153 156 162 168 170 180 182 189 195 204 208 210 216 221 234 238 240 243 252 255 260 270 272 273 280 306 312 315 324 336 340 351 357 360 364 378 390 405 408 420 432 442 455 459 468 476 486 504 510 520 540 546 560 567 585 595 612 624 630 648 663 680 702 714 720 728 756 765 780 810 816 819 840 884 910 918 936 945 952 972 1008 1020 1040 1053 1071 1080 1092 1105 1134 1170 1190 1215 1224 1260 1296 1326 1360 1365 1377 1404 1428 1456 1512 1530 1547 1560 1620 1638 1680 1701 1755 1768 1785 1820 1836 1872 1890 1904 1944 1989 2040 2106 2142 2160 2184 2210 2268 2295 2340 2380 2430 2448 2457 2520 2652 2730 2754 2808 2835 2856 3024 3060 3094 3120 3159 3213 3240 3276 3315 3402 3510 3536 3570 3640 3672 3780 3888 3978 4080 4095 4131 4212 4284 4368 4420 4536 4590 4641 4680 4760 4860 4914 5040 5265 5304 5355 5460 5508 5616 5670 5712 5967 6120 6188 6318 6426 6480 6552 6630 6804 6885 7020 7140 7280 7344 7371 7560 7735 7956 8190 8262 8424 8505 8568 8840 9072 9180 9282 9360 9520 9639 9720 9828 9945 10530 10608 10710 10920 11016 11340 11934 12240 12285 12376 12636 12852 13104 13260 13608 13770 13923 14040 14280 14742 15120 15470 15795 15912 16065 16380 16524 16848 17010 17136 17680 17901 18360 18564 19278 19440 19656 19890 20655 21060 21420 21840 22032 22113 22680 23205 23868 24570 24752 25272 25704 26520 27216 27540 27846 28080 28560 28917 29484 29835 30940 31590 31824 32130 32760 33048 34020 35802 36720 36855 37128 38556 39312 39780 41310 41769 42120 42840 44226 45360 46410 47736 48195 49140 50544 51408 53040 53703 55080 55692 57834 58968 59670 61880 63180 64260 65520 66096 68040 69615 71604 73710 74256 77112 79560 82620 83538 84240 85680 88452 89505 92820 95472 96390 98280 107406 110160 110565 111384 115668 117936 119340 123760 125307 126360 128520 136080 139230 143208 144585 147420 154224 159120 165240 167076 176904 179010 185640 192780 196560 208845 214812 221130 222768 231336 238680 250614 252720 257040 268515 278460 286416 289170 294840 330480 334152 353808 358020 371280 375921 385560 417690 429624 442260 462672 477360 501228 537030 556920 578340 589680 626535 668304 716040 751842 771120 835380 859248 884520 1002456 1074060 1113840 1156680 1253070 1432080 1503684 1670760 1769040 1879605 2004912 2148120 2313360 2506140 3007368 3341520 3759210 4296240 5012280 6014736 7518420 10024560 15036840 30073680
- Sum of all divisors σ(n): 136491264
- Sum of proper divisors (its aliquot sum) s(n): 106417584
- 30073680 is an abundant number, because the sum of its proper divisors (106417584) is greater than itself. Its abundance is 76343904
Bases of 30073680
- Binary: 11100101011100011010100002
- Hexadecimal: 0x1CAE350
- Base-36: HWL00
Squares and roots of 30073680
- 30073680 squared (300736802) is 904426228742400
- 30073680 cubed (300736803) is 27199424986805740032000
-
The
square root of 30073680 is 5483.9474833371 -
The
cube root of 30073680 is 310.9774213955
Scales and comparisons
How big is 30073680?- 30,073,680 seconds is equal to 49 weeks, 5 days, 1 hour, 48 minutes.
-
To count from 1 to 30,073,680 would take you about twenty-two weeks!
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 30073680 cubic inches would be around 25.9 feet tall.
Recreational maths with 30073680
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