213408000
213,408,000 is an even composite number composed of five prime numbers multiplied together.
213408000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 213408000:
28 × 33 × 53 × 13 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 19)See below for interesting mathematical facts about the number 213408000 from the Numbermatics database.
Names of 213408000
- Cardinal: 213408000 can be written as Two hundred thirteen million, four hundred eight thousand.
Scientific notation
- Scientific notation: 2.13408 × 108
Factors of 213408000
Divisors of 213408000
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 27 30 32 36 38 39 40 45 48 50 52 54 57 60 64 65 72 75 76 78 80 90 95 96 100 104 108 114 117 120 125 128 130 135 144 150 152 156 160 171 180 190 192 195 200 208 216 225 228 234 240 247 250 256 260 270 285 288 300 304 312 320 325 342 351 360 375 380 384 390 400 416 432 450 456 468 475 480 494 500 513 520 540 570 576 585 600 608 624 640 650 675 684 702 720 741 750 760 768 780 800 832 855 864 900 912 936 950 960 975 988 1000 1026 1040 1080 1125 1140 1152 1170 1200 1216 1235 1248 1280 1300 1350 1368 1404 1425 1440 1482 1500 1520 1560 1600 1625 1664 1710 1728 1755 1800 1824 1872 1900 1920 1950 1976 2000 2052 2080 2160 2223 2250 2280 2304 2340 2375 2400 2432 2470 2496 2565 2600 2700 2736 2808 2850 2880 2925 2964 3000 3040 3120 3200 3250 3328 3375 3420 3456 3510 3600 3648 3705 3744 3800 3840 3900 3952 4000 4104 4160 4275 4320 4446 4500 4560 4680 4750 4800 4864 4875 4940 4992 5130 5200 5400 5472 5616 5700 5760 5850 5928 6000 6080 6175 6240 6400 6500 6669 6750 6840 6912 7020 7125 7200 7296 7410 7488 7600 7800 7904 8000 8208 8320 8550 8640 8775 8892 9000 9120 9360 9500 9600 9750 9880 9984 10260 10400 10800 10944 11115 11232 11400 11520 11700 11856 12000 12160 12350 12480 12825 13000 13338 13500 13680 14040 14250 14400 14592 14625 14820 14976 15200 15600 15808 16000 16416 16640 17100 17280 17550 17784 18000 18240 18525 18720 19000 19200 19500 19760 20520 20800 21375 21600 21888 22230 22464 22800 23400 23712 24000 24320 24700 24960 25650 26000 26676 27000 27360 28080 28500 28800 29250 29640 29952 30400 30875 31200 31616 32000 32832 33345 34200 34560 35100 35568 36000 36480 37050 37440 38000 39000 39520 41040 41600 42750 43200 43776 43875 44460 44928 45600 46800 47424 48000 49400 49920 51300 52000 53352 54000 54720 55575 56160 57000 57600 58500 59280 60800 61750 62400 63232 64125 65664 66690 68400 70200 71136 72000 72960 74100 74880 76000 78000 79040 82080 83200 85500 86400 87750 88920 89856 91200 92625 93600 94848 96000 98800 102600 104000 106704 108000 109440 111150 112320 114000 117000 118560 121600 123500 124800 128250 131328 133380 136800 140400 142272 144000 148200 149760 152000 156000 158080 164160 166725 171000 172800 175500 177840 182400 185250 187200 189696 197600 205200 208000 213408 216000 218880 222300 224640 228000 234000 237120 247000 249600 256500 266760 273600 277875 280800 284544 288000 296400 304000 312000 316160 328320 333450 342000 351000 355680 364800 370500 374400 395200 410400 416000 426816 432000 444600 449280 456000 468000 474240 494000 513000 533520 547200 555750 561600 569088 592800 608000 624000 656640 666900 684000 702000 711360 741000 748800 790400 820800 833625 853632 864000 889200 912000 936000 948480 988000 1026000 1067040 1094400 1111500 1123200 1185600 1248000 1333800 1368000 1404000 1422720 1482000 1580800 1641600 1667250 1707264 1778400 1824000 1872000 1976000 2052000 2134080 2223000 2246400 2371200 2667600 2736000 2808000 2845440 2964000 3283200 3334500 3556800 3744000 3952000 4104000 4268160 4446000 4742400 5335200 5472000 5616000 5928000 6669000 7113600 7904000 8208000 8536320 8892000 10670400 11232000 11856000 13338000 14227200 16416000 17784000 21340800 23712000 26676000 35568000 42681600 53352000 71136000 106704000 213408000
- Sum of all divisors σ(n): 892819200
- Sum of proper divisors (its aliquot sum) s(n): 679411200
- 213408000 is an abundant number, because the sum of its proper divisors (679411200) is greater than itself. Its abundance is 466003200
Bases of 213408000
- Binary: 11001011100001011001000000002
- Hexadecimal: 0xCB85900
- Base-36: 3J22O0
Squares and roots of 213408000
- 213408000 squared (2134080002) is 45542974464000000
- 213408000 cubed (2134080003) is 9719235094413312000000000
-
The
square root of 213408000 is 14608.4906817919 -
The
cube root of 213408000 is 597.5903354835
Scales and comparisons
How big is 213408000?- 213,408,000 seconds is equal to 6 years, 40 weeks, 6 days.
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To count from 1 to 213,408,000 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 213408000 cubic inches would be around 49.8 feet tall.
Recreational maths with 213408000
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