985828320
985,828,320 is an even composite number composed of six prime numbers multiplied together.
985828320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 985828320:
25 × 34 × 5 × 29 × 43 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 29 × 43 × 61)See below for interesting mathematical facts about the number 985828320 from the Numbermatics database.
Names of 985828320
- Cardinal: 985828320 can be written as Nine hundred eighty-five million, eight hundred twenty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 9.8582832 × 108
Factors of 985828320
Divisors of 985828320
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 32 36 40 43 45 48 54 58 60 61 72 80 81 86 87 90 96 108 116 120 122 129 135 144 145 160 162 172 174 180 183 215 216 232 240 244 258 261 270 288 290 305 324 344 348 360 366 387 405 430 432 435 464 480 488 516 522 540 549 580 610 645 648 688 696 720 732 774 783 810 860 864 870 915 928 976 1032 1044 1080 1098 1160 1161 1220 1247 1290 1296 1305 1376 1392 1440 1464 1548 1566 1620 1647 1720 1740 1769 1830 1935 1952 2064 2088 2160 2196 2320 2322 2349 2440 2494 2580 2592 2610 2623 2745 2784 2928 3096 3132 3240 3294 3440 3480 3483 3538 3660 3741 3870 3915 4128 4176 4320 4392 4640 4644 4698 4880 4941 4988 5160 5220 5246 5307 5490 5805 5856 6192 6235 6264 6480 6588 6880 6960 6966 7076 7320 7482 7740 7830 7869 8235 8352 8784 8845 9288 9396 9760 9882 9976 10320 10440 10492 10614 10980 11223 11610 11745 12384 12470 12528 12960 13115 13176 13920 13932 14152 14640 14964 15480 15660 15738 15921 16470 17415 17568 17690 18576 18705 18792 19764 19952 20640 20880 20984 21228 21960 22446 23220 23490 23607 24705 24940 25056 26230 26352 26535 27864 28304 29280 29928 30960 31320 31476 31842 32940 33669 34830 35380 37152 37410 37584 39345 39528 39904 41760 41968 42456 43920 44892 46440 46980 47214 47763 49410 49880 52460 52704 53070 55728 56115 56608 59856 61920 62640 62952 63684 65880 67338 69660 70760 70821 74820 75168 76067 78690 79056 79605 83936 84912 87840 89784 92880 93960 94428 95526 98820 99760 101007 104920 106140 111456 112230 118035 119712 125280 125904 127368 131760 134676 139320 141520 141642 143289 149640 152134 157380 158112 159210 168345 169824 179568 185760 187920 188856 191052 197640 199520 202014 209840 212280 212463 224460 228201 236070 238815 251808 254736 263520 269352 278640 283040 283284 286578 299280 304268 314760 318420 336690 354105 359136 375840 377712 380335 382104 395280 404028 419680 424560 424926 448920 456402 472140 477630 505035 509472 538704 557280 566568 573156 598560 608536 629520 636840 673380 684603 708210 716445 755424 760670 764208 790560 808056 849120 849852 897840 912804 944280 955260 1010070 1062315 1077408 1133136 1141005 1146312 1217072 1259040 1273680 1346760 1369206 1416420 1432890 1521340 1528416 1616112 1699704 1795680 1825608 1888560 1910520 2020140 2053809 2124630 2266272 2282010 2292624 2434144 2547360 2693520 2738412 2832840 2865780 3042680 3232224 3399408 3423015 3651216 3777120 3821040 4040280 4107618 4249260 4564020 4585248 5387040 5476824 5665680 5731560 6085360 6161427 6798816 6846030 7302432 7642080 8080560 8215236 8498520 9128040 10269045 10953648 11331360 11463120 12170720 12322854 13692060 16161120 16430472 16997040 18256080 20538090 21907296 22926240 24645708 27384120 30807135 32860944 33994080 36512160 41076180 49291416 54768240 61614270 65721888 82152360 98582832 109536480 123228540 164304720 197165664 246457080 328609440 492914160 985828320
- Sum of all divisors σ(n): 3743197920
- Sum of proper divisors (its aliquot sum) s(n): 2757369600
- 985828320 is an abundant number, because the sum of its proper divisors (2757369600) is greater than itself. Its abundance is 1771541280
Bases of 985828320
- Binary: 1110101100001010001011111000002
- Hexadecimal: 0x3AC28BE0
- Base-36: GAXQ00
Squares and roots of 985828320
- 985828320 squared (9858283202) is 971857476514022400
- 985828320 cubed (9858283203) is 958084623351258159034368000
-
The
square root of 985828320 is 31397.9031146985 -
The
cube root of 985828320 is 995.2536141303
Scales and comparisons
How big is 985828320?- 985,828,320 seconds is equal to 31 years, 18 weeks, 1 hour, 12 minutes.
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To count from 1 to 985,828,320 would take you about forty-seven 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 985828320 cubic inches would be around 82.9 feet tall.
Recreational maths with 985828320
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