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20205315 = 3351329397
BaseRepresentation
bin100110100010…
…0111100000011
31102000112111000
41031010330003
520133032230
62001023043
7333512424
oct115047403
942015430
1020205315
1110450609
126924a83
134255a10
14297d64b
151b91b60
hex1344f03

20205315 has 64 divisors (see below), whose sum is σ = 40118400. Its totient is φ = 9580032.

The previous prime is 20205307. The next prime is 20205329. The reversal of 20205315 is 51350202.

It is a happy number.

It is not a de Polignac number, because 20205315 - 23 = 20205307 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50697 + ... + 51093.

It is an arithmetic number, because the mean of its divisors is an integer number (626850).

Almost surely, 220205315 is an apocalyptic number.

20205315 is a deficient number, since it is larger than the sum of its proper divisors (19913085).

20205315 is a wasteful number, since it uses less digits than its factorization.

20205315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 20205315 is about 4495.0322579488. The cubic root of 20205315 is about 272.3674523009.

Adding to 20205315 its reverse (51350202), we get a palindrome (71555517).

The spelling of 20205315 in words is "twenty million, two hundred five thousand, three hundred fifteen".

Divisors: 1 3 5 9 13 15 27 29 39 45 65 87 117 135 145 195 261 351 377 397 435 585 783 1131 1191 1305 1755 1885 1985 3393 3573 3915 5161 5655 5955 10179 10719 11513 15483 16965 17865 25805 34539 46449 50895 53595 57565 77415 103617 139347 149669 172695 232245 310851 449007 518085 696735 748345 1347021 1554255 2245035 4041063 6735105 20205315