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20388141 = 324574957
BaseRepresentation
bin100110111000…
…1100100101101
31102100211021100
41031301210231
520204410031
62004553313
7335203434
oct115614455
942324240
1020388141
1110565a04
1269b2839
1342bacb7
1429ca11b
151bcade6
hex137192d

20388141 has 12 divisors (see below), whose sum is σ = 29519932. Its totient is φ = 13559616.

The previous prime is 20388133. The next prime is 20388157. The reversal of 20388141 is 14188302.

It can be written as a sum of positive squares in 2 ways, for example, as 17464041 + 2924100 = 4179^2 + 1710^2 .

It is not a de Polignac number, because 20388141 - 23 = 20388133 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20388161) 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 11 ways as a sum of consecutive naturals, for example, 1635 + ... + 6591.

Almost surely, 220388141 is an apocalyptic number.

It is an amenable number.

20388141 is a deficient number, since it is larger than the sum of its proper divisors (9131791).

20388141 is a wasteful number, since it uses less digits than its factorization.

20388141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 20388141 is about 4515.3229120407. The cubic root of 20388141 is about 273.1864845075.

The spelling of 20388141 in words is "twenty million, three hundred eighty-eight thousand, one hundred forty-one".

Divisors: 1 3 9 457 1371 4113 4957 14871 44613 2265349 6796047 20388141