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19338129 = 331742131
BaseRepresentation
bin100100111000…
…1001110010001
31100101110221000
41021301032101
514422310004
61530252213
7323241246
oct111611621
940343830
1019338129
11aa09028
126587069
1340110a5
1427d55cd
151a6ec39
hex1271391

19338129 has 16 divisors (see below), whose sum is σ = 30335040. Its totient is φ = 12133440.

The previous prime is 19338049. The next prime is 19338133. The reversal of 19338129 is 92183391.

It is not a de Polignac number, because 19338129 - 27 = 19338001 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 19338093 and 19338102.

It is not an unprimeable number, because it can be changed into a prime (19338149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20607 + ... + 21524.

It is an arithmetic number, because the mean of its divisors is an integer number (1895940).

Almost surely, 219338129 is an apocalyptic number.

It is an amenable number.

19338129 is a deficient number, since it is larger than the sum of its proper divisors (10996911).

19338129 is a wasteful number, since it uses less digits than its factorization.

19338129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42157 (or 42151 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 19338129 is about 4397.5139567715. The cubic root of 19338129 is about 268.4137858714.

The spelling of 19338129 in words is "nineteen million, three hundred thirty-eight thousand, one hundred twenty-nine".

Divisors: 1 3 9 17 27 51 153 459 42131 126393 379179 716227 1137537 2148681 6446043 19338129