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12347933 = 131759947
BaseRepresentation
bin101111000110…
…101000011101
3212020100011212
4233012220131
511130113213
61120354205
7206645543
oct57065035
925210155
1012347933
116a74204
124175965
132734490
1418d5d93
15113d9a8
hexbc6a1d

12347933 has 16 divisors (see below), whose sum is σ = 14333760. Its totient is φ = 10534656.

The previous prime is 12347911. The next prime is 12347953. The reversal of 12347933 is 33974321.

12347933 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12347933 - 216 = 12282397 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12347933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12347953) 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, 12566 + ... + 13512.

It is an arithmetic number, because the mean of its divisors is an integer number (895860).

Almost surely, 212347933 is an apocalyptic number.

12347933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12347933 is a deficient number, since it is larger than the sum of its proper divisors (1985827).

12347933 is a wasteful number, since it uses less digits than its factorization.

12347933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036.

The product of its digits is 13608, while the sum is 32.

The square root of 12347933 is about 3513.9625780591. The cubic root of 12347933 is about 231.1344893774.

Adding to 12347933 its sum of digits (32), we get a triangular number (12347965 = T4969).

The spelling of 12347933 in words is "twelve million, three hundred forty-seven thousand, nine hundred thirty-three".

Divisors: 1 13 17 59 221 767 947 1003 12311 13039 16099 55873 209287 726349 949841 12347933