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20138319 = 3217433061
BaseRepresentation
bin100110011010…
…0100101001111
31101220010120200
41030310211033
520123411234
61555344543
7333113205
oct114644517
941803520
1020138319
1110405243
1268b2153
134231386
142963075
151b7bd99
hex133494f

20138319 has 24 divisors (see below), whose sum is σ = 31526352. Its totient is φ = 12337920.

The previous prime is 20138311. The next prime is 20138329. The reversal of 20138319 is 91383102.

It is not a de Polignac number, because 20138319 - 23 = 20138311 is a prime.

It is a super-2 number, since 2×201383192 = 811103784291522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20138292 and 20138301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20138311) 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 23 ways as a sum of consecutive naturals, for example, 5049 + ... + 8109.

It is an arithmetic number, because the mean of its divisors is an integer number (1313598).

Almost surely, 220138319 is an apocalyptic number.

20138319 is a deficient number, since it is larger than the sum of its proper divisors (11388033).

20138319 is a wasteful number, since it uses less digits than its factorization.

20138319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 20138319 is about 4487.5738434036. The cubic root of 20138319 is about 272.0660838207.

The spelling of 20138319 in words is "twenty million, one hundred thirty-eight thousand, three hundred nineteen".

Divisors: 1 3 9 17 43 51 129 153 387 731 2193 3061 6579 9183 27549 52037 131623 156111 394869 468333 1184607 2237591 6712773 20138319