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20157471 = 333124083
BaseRepresentation
bin100110011100…
…1010000011111
31101221002212000
41030321100133
520130014341
62000013343
7333223065
oct114712037
941832760
1020157471
1110418674
126901253
134239cc9
14296a035
151b828b6
hex133941f

20157471 has 16 divisors (see below), whose sum is σ = 30827520. Its totient is φ = 13004280.

The previous prime is 20157451. The next prime is 20157493. The reversal of 20157471 is 17475102.

20157471 is a `hidden beast` number, since 20 + 1 + 574 + 71 = 666.

It is not a de Polignac number, because 20157471 - 29 = 20156959 is a prime.

It is a super-3 number, since 3×201574713 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20157421) 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 15 ways as a sum of consecutive naturals, for example, 11205 + ... + 12878.

It is an arithmetic number, because the mean of its divisors is an integer number (1926720).

Almost surely, 220157471 is an apocalyptic number.

20157471 is a deficient number, since it is larger than the sum of its proper divisors (10670049).

20157471 is a wasteful number, since it uses less digits than its factorization.

20157471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24123 (or 24117 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 20157471 is about 4489.7072287622. The cubic root of 20157471 is about 272.1523035081.

The spelling of 20157471 in words is "twenty million, one hundred fifty-seven thousand, four hundred seventy-one".

Divisors: 1 3 9 27 31 93 279 837 24083 72249 216747 650241 746573 2239719 6719157 20157471