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20147085 = 325729137
BaseRepresentation
bin100110011011…
…0101110001101
31101220120121100
41030312232031
520124201320
61555453313
7333150600
oct114665615
941816540
1020147085
1110410892
1268b7239
13423536a
142966337
151b7e790
hex1336b8d

20147085 has 36 divisors (see below), whose sum is σ = 40627548. Its totient is φ = 9209088.

The previous prime is 20147063. The next prime is 20147089. The reversal of 20147085 is 58074102.

It can be written as a sum of positive squares in 2 ways, for example, as 2683044 + 17464041 = 1638^2 + 4179^2 .

It is not a de Polignac number, because 20147085 - 26 = 20147021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20147089) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2364 + ... + 6773.

It is an arithmetic number, because the mean of its divisors is an integer number (1128543).

Almost surely, 220147085 is an apocalyptic number.

It is an amenable number.

20147085 is an abundant number, since it is smaller than the sum of its proper divisors (20480463).

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

20147085 is a wasteful number, since it uses less digits than its factorization.

20147085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9162 (or 9152 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 20147085 is about 4488.5504341602. The cubic root of 20147085 is about 272.1055539362.

The spelling of 20147085 in words is "twenty million, one hundred forty-seven thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 9137 27411 45685 63959 82233 137055 191877 319795 411165 447713 575631 959385 1343139 2238565 2878155 4029417 6715695 20147085