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20804512 = 252321229
BaseRepresentation
bin100111101011…
…1001110100000
31110010222102111
41033113032200
520311221022
62021525104
7341556361
oct117271640
943128374
1020804512
111081a813
126b73794
134405681
142a97b68
151c5e477
hex13d73a0

20804512 has 36 divisors (see below), whose sum is σ = 42851970. Its totient is φ = 9941888.

The previous prime is 20804501. The next prime is 20804527. The reversal of 20804512 is 21540802.

It can be written as a sum of positive squares in only one way, i.e., 11587216 + 9217296 = 3404^2 + 3036^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16314 + ... + 17542.

Almost surely, 220804512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20804512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21425985).

20804512 is an abundant number, since it is smaller than the sum of its proper divisors (22047458).

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

20804512 is a wasteful number, since it uses less digits than its factorization.

20804512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 20804512 is about 4561.1963342965. The cubic root of 20804512 is about 275.0336575884.

It can be divided in two parts, 20804 and 512, that added together give a square (21316 = 1462).

The spelling of 20804512 in words is "twenty million, eight hundred four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 1229 2116 2458 4232 4916 8464 9832 16928 19664 28267 39328 56534 113068 226136 452272 650141 904544 1300282 2600564 5201128 10402256 20804512