213840000
213,840,000 is an even composite number composed of four prime numbers multiplied together.
213840000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 213840000:
27 × 35 × 54 × 11
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 11)See below for interesting mathematical facts about the number 213840000 from the Numbermatics database.
Names of 213840000
- Cardinal: 213840000 can be written as Two hundred thirteen million, eight hundred forty thousand.
Scientific notation
- Scientific notation: 2.1384 × 108
Factors of 213840000
Divisors of 213840000
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 125 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 243 250 264 270 275 288 297 300 320 324 330 352 360 375 384 396 400 405 432 440 450 480 486 495 500 528 540 550 576 594 600 625 640 648 660 675 704 720 750 792 800 810 825 864 880 891 900 960 972 990 1000 1056 1080 1100 1125 1152 1188 1200 1215 1250 1296 1320 1350 1375 1408 1440 1485 1500 1584 1600 1620 1650 1728 1760 1782 1800 1875 1920 1944 1980 2000 2025 2112 2160 2200 2250 2376 2400 2430 2475 2500 2592 2640 2673 2700 2750 2880 2970 3000 3168 3200 3240 3300 3375 3456 3520 3564 3600 3750 3888 3960 4000 4050 4125 4224 4320 4400 4455 4500 4752 4800 4860 4950 5000 5184 5280 5346 5400 5500 5625 5760 5940 6000 6075 6336 6480 6600 6750 6875 7040 7128 7200 7425 7500 7776 7920 8000 8100 8250 8640 8800 8910 9000 9504 9600 9720 9900 10000 10125 10368 10560 10692 10800 11000 11250 11880 12000 12150 12375 12672 12960 13200 13365 13500 13750 14256 14400 14850 15000 15552 15840 16000 16200 16500 16875 17280 17600 17820 18000 19008 19440 19800 20000 20250 20625 21120 21384 21600 22000 22275 22500 23760 24000 24300 24750 25920 26400 26730 27000 27500 28512 28800 29700 30000 30375 31104 31680 32400 33000 33750 35200 35640 36000 37125 38016 38880 39600 40000 40500 41250 42768 43200 44000 44550 45000 47520 48000 48600 49500 50625 51840 52800 53460 54000 55000 57024 59400 60000 60750 61875 63360 64800 66000 66825 67500 71280 72000 74250 77760 79200 80000 81000 82500 85536 86400 88000 89100 90000 95040 97200 99000 101250 105600 106920 108000 110000 111375 114048 118800 120000 121500 123750 129600 132000 133650 135000 142560 144000 148500 151875 155520 158400 162000 165000 171072 176000 178200 180000 185625 190080 194400 198000 202500 213840 216000 220000 222750 237600 240000 243000 247500 259200 264000 267300 270000 285120 297000 303750 316800 324000 330000 334125 342144 356400 360000 371250 388800 396000 405000 427680 432000 440000 445500 475200 486000 495000 528000 534600 540000 556875 570240 594000 607500 648000 660000 668250 712800 720000 742500 777600 792000 810000 855360 880000 891000 950400 972000 990000 1069200 1080000 1113750 1188000 1215000 1296000 1320000 1336500 1425600 1485000 1584000 1620000 1670625 1710720 1782000 1944000 1980000 2138400 2160000 2227500 2376000 2430000 2640000 2673000 2851200 2970000 3240000 3341250 3564000 3888000 3960000 4276800 4455000 4752000 4860000 5346000 5940000 6480000 6682500 7128000 7920000 8553600 8910000 9720000 10692000 11880000 13365000 14256000 17820000 19440000 21384000 23760000 26730000 35640000 42768000 53460000 71280000 106920000 213840000
- Sum of all divisors σ(n): 869909040
- Sum of proper divisors (its aliquot sum) s(n): 656069040
- 213840000 is an abundant number, because the sum of its proper divisors (656069040) is greater than itself. Its abundance is 442229040
Bases of 213840000
- Binary: 11001011111011110000100000002
- Hexadecimal: 0xCBEF080
- Base-36: 3JBC00
Squares and roots of 213840000
- 213840000 squared (2138400002) is 45727545600000000
- 213840000 cubed (2138400003) is 9778378351104000000000000
-
The
square root of 213840000 is 14623.2691283445 -
The
cube root of 213840000 is 597.9932960475
Scales and comparisons
How big is 213840000?- 213,840,000 seconds is equal to 6 years, 41 weeks, 4 days.
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To count from 1 to 213,840,000 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 213840000 cubic inches would be around 49.8 feet tall.
Recreational maths with 213840000
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