213528000
213,528,000 is an even composite number composed of six prime numbers multiplied together.
213528000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 213528000:
26 × 3 × 53 × 7 × 31 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 31 × 41)See below for interesting mathematical facts about the number 213528000 from the Numbermatics database.
Names of 213528000
- Cardinal: 213528000 can be written as Two hundred thirteen million, five hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 2.13528 × 108
Factors of 213528000
Divisors of 213528000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 41 42 48 50 56 60 62 64 70 75 80 82 84 93 96 100 105 112 120 123 124 125 140 150 155 160 164 168 175 186 192 200 205 210 217 224 240 246 248 250 280 287 300 310 320 328 336 350 372 375 400 410 420 434 448 465 480 492 496 500 525 560 574 600 615 620 651 656 672 700 744 750 775 800 820 840 861 868 875 930 960 984 992 1000 1025 1050 1085 1120 1148 1200 1230 1240 1271 1302 1312 1344 1400 1435 1488 1500 1550 1600 1640 1680 1722 1736 1750 1860 1968 1984 2000 2050 2100 2170 2240 2296 2325 2400 2460 2480 2542 2604 2624 2625 2800 2870 2976 3000 3075 3100 3255 3280 3360 3444 3472 3500 3720 3813 3875 3936 4000 4100 4200 4305 4340 4592 4650 4800 4920 4960 5084 5125 5208 5250 5425 5600 5740 5952 6000 6150 6200 6355 6510 6560 6720 6888 6944 7000 7175 7440 7626 7750 7872 8000 8200 8400 8610 8680 8897 9184 9300 9840 9920 10168 10250 10416 10500 10850 11200 11480 11625 12000 12300 12400 12710 13020 13120 13776 13888 14000 14350 14880 15252 15375 15500 16275 16400 16800 17220 17360 17794 18368 18600 19065 19680 20336 20500 20832 21000 21525 21700 22960 23250 24000 24600 24800 25420 26040 26691 27125 27552 28000 28700 29760 30504 30750 31000 31775 32550 32800 33600 34440 34720 35588 35875 37200 38130 39360 40672 41000 41664 42000 43050 43400 44485 45920 46500 49200 49600 50840 52080 53382 54250 55104 56000 57400 61008 61500 62000 63550 65100 65600 68880 69440 71176 71750 74400 76260 81344 81375 82000 84000 86100 86800 88970 91840 93000 95325 98400 101680 104160 106764 107625 108500 114800 122016 123000 124000 127100 130200 133455 137760 142352 143500 148800 152520 158875 162750 164000 168000 172200 173600 177940 186000 190650 196800 203360 208320 213528 215250 217000 222425 229600 244032 246000 248000 254200 260400 266910 275520 284704 287000 305040 317750 325500 328000 344400 347200 355880 372000 381300 406720 427056 430500 434000 444850 459200 476625 492000 508400 520800 533820 569408 574000 610080 635500 651000 667275 688800 711760 744000 762600 854112 861000 868000 889700 953250 984000 1016800 1041600 1067640 1112125 1148000 1220160 1271000 1302000 1334550 1377600 1423520 1525200 1708224 1722000 1736000 1779400 1906500 2033600 2135280 2224250 2296000 2542000 2604000 2669100 2847040 3050400 3336375 3444000 3558800 3813000 4270560 4448500 5084000 5208000 5338200 6100800 6672750 6888000 7117600 7626000 8541120 8897000 10168000 10676400 13345500 14235200 15252000 17794000 21352800 26691000 30504000 35588000 42705600 53382000 71176000 106764000 213528000
- Sum of all divisors σ(n): 852074496
- Sum of proper divisors (its aliquot sum) s(n): 638546496
- 213528000 is an abundant number, because the sum of its proper divisors (638546496) is greater than itself. Its abundance is 425018496
Bases of 213528000
- Binary: 11001011101000101101110000002
- Hexadecimal: 0xCBA2DC0
- Base-36: 3J4N9C
Squares and roots of 213528000
- 213528000 squared (2135280002) is 45594206784000000
- 213528000 cubed (2135280003) is 9735639786173952000000000
-
The
square root of 213528000 is 14612.5973050653 -
The
cube root of 213528000 is 597.7023234805
Scales and comparisons
How big is 213528000?- 213,528,000 seconds is equal to 6 years, 41 weeks, 9 hours, 20 minutes.
-
To count from 1 to 213,528,000 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 213528000 cubic inches would be around 49.8 feet tall.
Recreational maths with 213528000
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