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20584206 = 234612083
BaseRepresentation
bin100111010000…
…1011100001110
31102201210020000
41032201130032
520232143311
62013105130
7336651156
oct116413416
942653200
1020584206
111068a245
126a881a6
134359306
142a3b766
151c19056
hex13a170e

20584206 has 40 divisors (see below), whose sum is σ = 46902504. Its totient is φ = 6745680.

The previous prime is 20584183. The next prime is 20584211. The reversal of 20584206 is 60248502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20584206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8841 + ... + 10923.

Almost surely, 220584206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20584206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23451252).

20584206 is an abundant number, since it is smaller than the sum of its proper divisors (26318298).

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

20584206 is a wasteful number, since it uses less digits than its factorization.

20584206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20584206 is about 4536.9820365525. The cubic root of 20584206 is about 274.0594024688.

The spelling of 20584206 in words is "twenty million, five hundred eighty-four thousand, two hundred six".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 1098 1647 2083 3294 4166 4941 6249 9882 12498 18747 37494 56241 112482 127063 168723 254126 337446 381189 762378 1143567 2287134 3430701 6861402 10292103 20584206