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20542617 = 322282513
BaseRepresentation
bin100111001011…
…1010010011001
31102122200011200
41032113102121
520224330432
62012144413
7336416004
oct116272231
942580150
1020542617
1110660a77
126a68109
1343433c4
142a2a53b
151c0ba7c
hex1397499

20542617 has 6 divisors (see below), whose sum is σ = 29672682. Its totient is φ = 13695072.

The previous prime is 20542603. The next prime is 20542633. The reversal of 20542617 is 71624502.

20542617 is a `hidden beast` number, since 2 + 0 + 5 + 42 + 617 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16232841 + 4309776 = 4029^2 + 2076^2 .

It is not a de Polignac number, because 20542617 - 212 = 20538521 is a prime.

It is a super-2 number, since 2×205426172 = 843998226417378, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20522617) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1141248 + ... + 1141265.

It is an arithmetic number, because the mean of its divisors is an integer number (4945447).

Almost surely, 220542617 is an apocalyptic number.

It is an amenable number.

20542617 is a deficient number, since it is larger than the sum of its proper divisors (9130065).

20542617 is a wasteful number, since it uses less digits than its factorization.

20542617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282519 (or 2282516 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20542617 is about 4532.3963860192. The cubic root of 20542617 is about 273.8747051768.

The spelling of 20542617 in words is "twenty million, five hundred forty-two thousand, six hundred seventeen".

Divisors: 1 3 9 2282513 6847539 20542617