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290270405640 = 233561349113623
BaseRepresentation
bin1000011100101010111…
…01101110010000001000
31000202020102222102102110
410032111131232100020
514223433210440030
6341203130102320
726654112511125
oct4162535562010
91022212872373
10290270405640
11102115093026
124830ab7a9a0
13214ac179a97
1410098c8b74c
15783d4161b0
hex439576e408

290270405640 has 128 divisors (see below), whose sum is σ = 887630688000. Its totient is φ = 75917675520.

The previous prime is 290270405609. The next prime is 290270405647. The reversal of 290270405640 is 46504072092.

It is not an unprimeable number, because it can be changed into a prime (290270405647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2497869 + ... + 2611491.

It is an arithmetic number, because the mean of its divisors is an integer number (6934614750).

Almost surely, 2290270405640 is an apocalyptic number.

290270405640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290270405640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443815344000).

290270405640 is an abundant number, since it is smaller than the sum of its proper divisors (597360282360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

290270405640 is a wasteful number, since it uses less digits than its factorization.

290270405640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114047 (or 114043 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 290270405640 in words is "two hundred ninety billion, two hundred seventy million, four hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 349 366 488 610 698 732 915 1047 1220 1396 1464 1745 1830 2094 2440 2792 3490 3660 4188 5235 6980 7320 8376 10470 13960 20940 21289 41880 42578 63867 85156 106445 113623 127734 170312 212890 227246 255468 319335 340869 425780 454492 510936 568115 638670 681738 851560 908984 1136230 1277340 1363476 1704345 2272460 2554680 2726952 3408690 4544920 6817380 6931003 13634760 13862006 20793009 27724012 34655015 39654427 41586018 55448024 69310030 79308854 83172036 103965045 118963281 138620060 158617708 166344072 198272135 207930090 237926562 277240120 317235416 396544270 415860180 475853124 594816405 793088540 831720360 951706248 1189632810 1586177080 2379265620 2418920047 4758531240 4837840094 7256760141 9675680188 12094600235 14513520282 19351360376 24189200470 29027040564 36283800705 48378400940 58054081128 72567601410 96756801880 145135202820 290270405640