213379920
213,379,920 is an even composite number composed of six prime numbers multiplied together.
213379920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 213379920:
24 × 34 × 5 × 13 × 17 × 149
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 17 × 149)See below for interesting mathematical facts about the number 213379920 from the Numbermatics database.
Names of 213379920
- Cardinal: 213379920 can be written as Two hundred thirteen million, three hundred seventy-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 2.1337992 × 108
Factors of 213379920
Divisors of 213379920
- Number of divisors d(n): 400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 27 30 34 36 39 40 45 48 51 52 54 60 65 68 72 78 80 81 85 90 102 104 108 117 120 130 135 136 144 149 153 156 162 170 180 195 204 208 216 221 234 240 255 260 270 272 298 306 312 324 340 351 360 390 405 408 432 442 447 459 468 510 520 540 585 596 612 624 648 663 680 702 720 745 765 780 810 816 884 894 918 936 1020 1040 1053 1080 1105 1170 1192 1224 1296 1326 1341 1360 1377 1404 1490 1530 1560 1620 1755 1768 1788 1836 1872 1937 1989 2040 2106 2160 2210 2235 2295 2340 2384 2448 2533 2652 2682 2754 2808 2980 3060 3120 3240 3315 3510 3536 3576 3672 3874 3978 4023 4080 4212 4420 4470 4590 4680 5066 5265 5304 5364 5508 5616 5811 5960 5967 6120 6480 6630 6705 6885 7020 7152 7344 7599 7748 7956 8046 8424 8840 8940 9180 9360 9685 9945 10132 10530 10608 10728 11016 11622 11920 11934 12069 12240 12665 13260 13410 13770 14040 15198 15496 15912 16092 16848 17433 17680 17880 17901 18360 19370 19890 20115 20264 21060 21456 22032 22797 23244 23868 24138 25330 26520 26820 27540 28080 29055 29835 30396 30992 31824 32184 32929 34866 35760 35802 36720 37995 38740 39780 40230 40528 42120 45594 46488 47736 48276 50660 52299 53040 53640 55080 58110 59670 60345 60792 64368 65858 68391 69732 71604 75990 77480 79560 80460 84240 87165 89505 91188 92976 95472 96552 98787 101320 104598 107280 110160 113985 116220 119340 120690 121584 131716 136782 139464 143208 151980 154960 156897 159120 160920 164645 174330 179010 182376 193104 197574 202640 205173 209196 227970 232440 238680 241380 261495 263432 273564 278928 286416 296361 303960 313794 321840 329290 341955 348660 358020 364752 395148 410346 418392 455940 464880 477360 482760 493935 522990 526864 547128 592722 607920 627588 658580 683910 697320 716040 784485 790296 820692 836784 889083 911880 965520 987870 1025865 1045980 1094256 1185444 1255176 1317160 1367820 1394640 1432080 1481805 1568970 1580592 1641384 1778166 1823760 1975740 2051730 2091960 2370888 2510352 2634320 2667249 2735640 2963610 3137940 3282768 3556332 3951480 4103460 4183920 4445415 4741776 5334498 5471280 5927220 6275880 7112664 7902960 8206920 8890830 10668996 11854440 12551760 13336245 14225328 16413840 17781660 21337992 23708880 26672490 35563320 42675984 53344980 71126640 106689960 213379920
- Sum of all divisors σ(n): 850726800
- Sum of proper divisors (its aliquot sum) s(n): 637346880
- 213379920 is an abundant number, because the sum of its proper divisors (637346880) is greater than itself. Its abundance is 423966960
Bases of 213379920
- Binary: 11001011011111101011010100002
- Hexadecimal: 0xCB7EB50
- Base-36: 3J1H00
Squares and roots of 213379920
- 213379920 squared (2133799202) is 45530990259206400
- 213379920 cubed (2133799203) is 9715399059030240895488000
-
The
square root of 213379920 is 14607.5295652617 -
The
cube root of 213379920 is 597.5641242313
Scales and comparisons
How big is 213379920?- 213,379,920 seconds is equal to 6 years, 40 weeks, 5 days, 16 hours, 12 minutes.
-
To count from 1 to 213,379,920 would take you about ten 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 213379920 cubic inches would be around 49.8 feet tall.
Recreational maths with 213379920
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