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12516839 = 193179269
BaseRepresentation
bin101111101111…
…110111100111
3212112220212122
4233233313213
511201014324
61124140155
7211251146
oct57576747
925486778
1012516839
11707a0a5
12423765b
13279331a
14193b75d
151173a5e
hexbefde7

12516839 has 16 divisors (see below), whose sum is σ = 13824000. Its totient is φ = 11288160.

The previous prime is 12516821. The next prime is 12516857. The reversal of 12516839 is 93861521.

It is an interprime number because it is at equal distance from previous prime (12516821) and next prime (12516857).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12516839 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12516799 and 12516808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12516809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46397 + ... + 46665.

It is an arithmetic number, because the mean of its divisors is an integer number (864000).

Almost surely, 212516839 is an apocalyptic number.

12516839 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12516839 is a deficient number, since it is larger than the sum of its proper divisors (1307161).

12516839 is a wasteful number, since it uses less digits than its factorization.

12516839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398.

The product of its digits is 12960, while the sum is 35.

The square root of 12516839 is about 3537.9144986842. The cubic root of 12516839 is about 232.1836078723.

The spelling of 12516839 in words is "twelve million, five hundred sixteen thousand, eight hundred thirty-nine".

Divisors: 1 19 31 79 269 589 1501 2449 5111 8339 21251 46531 158441 403769 658781 12516839