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20585106 = 2327091613
BaseRepresentation
bin100111010000…
…1101010010010
31102201211110100
41032201222102
520232210411
62013113230
7336653613
oct116415222
942654410
1020585106
111068a993
126a88816
134359849
142a3bc0a
151c19456
hex13a1a92

20585106 has 24 divisors (see below), whose sum is σ = 44691660. Its totient is φ = 6847776.

The previous prime is 20585093. The next prime is 20585111. The reversal of 20585106 is 60158502.

It can be written as a sum of positive squares in 2 ways, for example, as 20169081 + 416025 = 4491^2 + 645^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20585106.

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, 11956 + ... + 13568.

Almost surely, 220585106 is an apocalyptic number.

20585106 is an abundant number, since it is smaller than the sum of its proper divisors (24106554).

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

20585106 is a wasteful number, since it uses less digits than its factorization.

20585106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 20585106 is about 4537.0812203442. The cubic root of 20585106 is about 274.0633966293.

The spelling of 20585106 in words is "twenty million, five hundred eighty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 709 1418 1613 2127 3226 4254 4839 6381 9678 12762 14517 29034 1143617 2287234 3430851 6861702 10292553 20585106