213008400
213,008,400 is an even composite number composed of five prime numbers multiplied together.
213008400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 213008400:
24 × 33 × 52 × 112 × 163
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 163)See below for interesting mathematical facts about the number 213008400 from the Numbermatics database.
Names of 213008400
- Cardinal: 213008400 can be written as Two hundred thirteen million, eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.130084 × 108
Factors of 213008400
Divisors of 213008400
- Number of divisors d(n): 360
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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 33 36 40 44 45 48 50 54 55 60 66 72 75 80 88 90 99 100 108 110 120 121 132 135 144 150 163 165 176 180 198 200 216 220 225 240 242 264 270 275 297 300 326 330 360 363 396 400 432 440 450 484 489 495 528 540 550 594 600 605 652 660 675 720 726 792 815 825 880 900 968 978 990 1080 1089 1100 1188 1200 1210 1304 1320 1350 1452 1467 1485 1584 1630 1650 1793 1800 1815 1936 1956 1980 2160 2178 2200 2376 2420 2445 2475 2608 2640 2700 2904 2934 2970 3025 3260 3267 3300 3586 3600 3630 3912 3960 4075 4356 4400 4401 4752 4840 4890 4950 5379 5400 5445 5808 5868 5940 6050 6520 6534 6600 7172 7260 7335 7425 7824 7920 8150 8712 8802 8965 9075 9680 9780 9900 10758 10800 10890 11736 11880 12100 12225 13040 13068 13200 14344 14520 14670 14850 16137 16300 16335 17424 17604 17930 18150 19560 19723 19800 21516 21780 22005 23472 23760 24200 24450 26136 26895 27225 28688 29040 29340 29700 32274 32600 32670 35208 35860 36300 36675 39120 39446 39600 43032 43560 44010 44825 48400 48411 48900 52272 53790 54450 58680 59169 59400 64548 65200 65340 70416 71720 72600 73350 78892 80685 81675 86064 87120 88020 89650 96822 97800 98615 107580 108900 110025 117360 118338 118800 129096 130680 134475 143440 145200 146700 157784 161370 163350 176040 177507 179300 193644 195600 197230 215160 217800 220050 236676 242055 258192 261360 268950 293400 295845 315568 322740 326700 352080 355014 358600 387288 394460 403425 430320 435600 440100 473352 484110 493075 532521 537900 586800 591690 645480 653400 710028 717200 774576 788920 806850 880200 887535 946704 968220 986150 1065042 1075800 1183380 1210275 1290960 1306800 1420056 1479225 1577840 1613700 1760400 1775070 1936440 1972300 2130084 2151600 2366760 2420550 2662605 2840112 2958450 3227400 3550140 3872880 3944600 4260168 4437675 4733520 4841100 5325210 5916900 6454800 7100280 7889200 8520336 8875350 9682200 10650420 11833800 13313025 14200560 17750700 19364400 21300840 23667600 26626050 35501400 42601680 53252100 71002800 106504200 213008400
- Sum of all divisors σ(n): 838453280
- Sum of proper divisors (its aliquot sum) s(n): 625444880
- 213008400 is an abundant number, because the sum of its proper divisors (625444880) is greater than itself. Its abundance is 412436480
Bases of 213008400
- Binary: 11001011001001000000000100002
- Hexadecimal: 0xCB24010
- Base-36: 3ITIC0
Squares and roots of 213008400
- 213008400 squared (2130084002) is 45372578470560000
- 213008400 cubed (2130084003) is 9664740343888432704000000
-
The
square root of 213008400 is 14594.8072957473 -
The
cube root of 213008400 is 597.2171125177
Scales and comparisons
How big is 213008400?- 213,008,400 seconds is equal to 6 years, 40 weeks, 1 day, 9 hours.
-
To count from 1 to 213,008,400 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 213008400 cubic inches would be around 49.8 feet tall.
Recreational maths with 213008400
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