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20585034 = 2324127893
BaseRepresentation
bin100111010000…
…1101001001010
31102201211100200
41032201221022
520232210114
62013113030
7336653451
oct116415112
942654320
1020585034
111068a928
126a88776
1343597c2
142a3bb98
151c19409
hex13a1a4a

20585034 has 24 divisors (see below), whose sum is σ = 45690372. Its totient is φ = 6694080.

The previous prime is 20585027. The next prime is 20585053. The reversal of 20585034 is 43058502.

It can be written as a sum of positive squares in 2 ways, for example, as 20385225 + 199809 = 4515^2 + 447^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20584989 and 20585007.

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 11 ways as a sum of consecutive naturals, for example, 13209 + ... + 14684.

Almost surely, 220585034 is an apocalyptic number.

20585034 is an abundant number, since it is smaller than the sum of its proper divisors (25105338).

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

20585034 is a wasteful number, since it uses less digits than its factorization.

20585034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27942 (or 27939 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 20585034 is about 4537.0732857207. The cubic root of 20585034 is about 274.0630771007.

The spelling of 20585034 in words is "twenty million, five hundred eighty-five thousand, thirty-four".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 27893 55786 83679 167358 251037 502074 1143613 2287226 3430839 6861678 10292517 20585034