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20585145 = 35734001
BaseRepresentation
bin100111010000…
…1101010111001
31102201211111210
41032201222321
520232211040
62013113333
7336654000
oct116415271
942654453
1020585145
111068aa19
126a88849
134359879
142a3bc37
151c19480
hex13a1ab9

20585145 has 32 divisors (see below), whose sum is σ = 38419200. Its totient is φ = 9408000.

The previous prime is 20585129. The next prime is 20585167. The reversal of 20585145 is 54158502.

It is not a de Polignac number, because 20585145 - 24 = 20585129 is a prime.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 3145 + ... + 7145.

It is an arithmetic number, because the mean of its divisors is an integer number (1200600).

Almost surely, 220585145 is an apocalyptic number.

It is an amenable number.

20585145 is a deficient number, since it is larger than the sum of its proper divisors (17834055).

20585145 is an equidigital number, since it uses as much as digits as its factorization.

20585145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 20585145 is about 4537.0855182595. The cubic root of 20585145 is about 274.0635697069.

The spelling of 20585145 in words is "twenty million, five hundred eighty-five thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 343 735 1029 1715 4001 5145 12003 20005 28007 60015 84021 140035 196049 420105 588147 980245 1372343 2940735 4117029 6861715 20585145