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12138633 = 331334583
BaseRepresentation
bin101110010011…
…100010001001
3211211201002000
4232103202021
511101414013
61112101213
7205114413
oct56234211
924751060
1012138633
116940a31
124094809
132690130
14187d9b3
1510eb973
hexb93889

12138633 has 16 divisors (see below), whose sum is σ = 19367040. Its totient is φ = 7469712.

The previous prime is 12138631. The next prime is 12138647. The reversal of 12138633 is 33683121.

It is a happy number.

12138633 is a `hidden beast` number, since 1 + 21 + 3 + 8 + 633 = 666.

It is not a de Polignac number, because 12138633 - 21 = 12138631 is a prime.

It is a super-2 number, since 2×121386332 = 294692822217378, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12138597 and 12138606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12138631) 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, 16941 + ... + 17642.

It is an arithmetic number, because the mean of its divisors is an integer number (1210440).

Almost surely, 212138633 is an apocalyptic number.

12138633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12138633 is a deficient number, since it is larger than the sum of its proper divisors (7228407).

12138633 is a wasteful number, since it uses less digits than its factorization.

12138633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34605 (or 34599 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 12138633 is about 3484.0541040575. The cubic root of 12138633 is about 229.8211148443.

The spelling of 12138633 in words is "twelve million, one hundred thirty-eight thousand, six hundred thirty-three".

Divisors: 1 3 9 13 27 39 117 351 34583 103749 311247 449579 933741 1348737 4046211 12138633