213830400
213,830,400 is an even composite number composed of six prime numbers multiplied together.
213830400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 213830400:
28 × 3 × 52 × 7 × 37 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 37 × 43)See below for interesting mathematical facts about the number 213830400 from the Numbermatics database.
Names of 213830400
- Cardinal: 213830400 can be written as Two hundred thirteen million, eight hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 2.138304 × 108
Factors of 213830400
Divisors of 213830400
- Number of divisors d(n): 432
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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 32 35 37 40 42 43 48 50 56 60 64 70 74 75 80 84 86 96 100 105 111 112 120 128 129 140 148 150 160 168 172 175 185 192 200 210 215 222 224 240 256 258 259 280 296 300 301 320 336 344 350 370 384 400 420 430 444 448 480 516 518 525 555 560 592 600 602 640 645 672 688 700 740 768 777 800 840 860 888 896 903 925 960 1032 1036 1050 1075 1110 1120 1184 1200 1204 1280 1290 1295 1344 1376 1400 1480 1505 1554 1591 1600 1680 1720 1776 1792 1806 1850 1920 2064 2072 2100 2150 2220 2240 2368 2400 2408 2580 2590 2688 2752 2775 2800 2960 3010 3108 3182 3200 3225 3360 3440 3552 3612 3700 3840 3885 4128 4144 4200 4300 4440 4480 4515 4736 4773 4800 4816 5160 5180 5376 5504 5550 5600 5920 6020 6216 6364 6400 6450 6475 6720 6880 7104 7224 7400 7525 7770 7955 8256 8288 8400 8600 8880 8960 9030 9472 9546 9600 9632 10320 10360 11008 11100 11137 11200 11840 12040 12432 12728 12900 12950 13440 13760 14208 14448 14800 15050 15540 15910 16512 16576 16800 17200 17760 18060 19092 19200 19264 19425 20640 20720 22200 22274 22400 22575 23680 23865 24080 24864 25456 25800 25900 26880 27520 28416 28896 29600 30100 31080 31820 33024 33152 33411 33600 34400 35520 36120 38184 38528 38850 39775 41280 41440 44400 44548 44800 45150 47360 47730 48160 49728 50912 51600 51800 55040 55685 57792 59200 60200 62160 63640 66304 66822 67200 68800 71040 72240 76368 77056 77700 79550 82560 82880 88800 89096 90300 95460 96320 99456 101824 103200 103600 111370 115584 118400 119325 120400 124320 127280 133644 134400 137600 142080 144480 152736 155400 159100 165120 165760 167055 177600 178192 180600 190920 192640 198912 203648 206400 207200 222740 231168 236800 238650 240800 248640 254560 267288 275200 278425 288960 305472 310800 318200 331520 334110 355200 356384 361200 381840 385280 407296 412800 414400 445480 477300 481600 497280 509120 534576 556850 577920 610944 621600 636400 668220 710400 712768 722400 763680 825600 828800 835275 890960 954600 963200 994560 1018240 1069152 1113700 1155840 1221888 1243200 1272800 1336440 1425536 1444800 1527360 1657600 1670550 1781920 1909200 1926400 2036480 2138304 2227400 2486400 2545600 2672880 2851072 2889600 3054720 3341100 3563840 3818400 4276608 4454800 4972800 5091200 5345760 5779200 6109440 6682200 7127680 7636800 8553216 8909600 10182400 10691520 13364400 14255360 15273600 17819200 21383040 26728800 30547200 35638400 42766080 53457600 71276800 106915200 213830400
- Sum of all divisors σ(n): 847556864
- Sum of proper divisors (its aliquot sum) s(n): 633726464
- 213830400 is an abundant number, because the sum of its proper divisors (633726464) is greater than itself. Its abundance is 419896064
Bases of 213830400
- Binary: 11001011111011001011000000002
- Hexadecimal: 0xCBECB00
- Base-36: 3JB4LC
Squares and roots of 213830400
- 213830400 squared (2138304002) is 45723439964160000
- 213830400 cubed (2138304003) is 9777061456912318464000000
-
The
square root of 213830400 is 14622.9408806847 -
The
cube root of 213830400 is 597.9843472673
Scales and comparisons
How big is 213830400?- 213,830,400 seconds is equal to 6 years, 41 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 213,830,400 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 213830400 cubic inches would be around 49.8 feet tall.
Recreational maths with 213830400
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