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12638033 = 971131153
BaseRepresentation
bin110000001101…
…011101010001
3212210002010022
4300031131101
511213404113
61130513225
7212264402
oct60153521
925702108
1012638033
117152161
124295815
132806535
14196d9a9
151199908
hexc0d751

12638033 has 8 divisors (see below), whose sum is σ = 12892488. Its totient is φ = 12386304.

The previous prime is 12638027. The next prime is 12638039. The reversal of 12638033 is 33083621.

It is an interprime number because it is at equal distance from previous prime (12638027) and next prime (12638039).

It can be written as a sum of positive squares in 4 ways, for example, as 478864 + 12159169 = 692^2 + 3487^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12638033 - 214 = 12621649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12637993 and 12638011.

It is not an unprimeable number, because it can be changed into a prime (12638039) 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 7 ways as a sum of consecutive naturals, for example, 10385 + ... + 11537.

It is an arithmetic number, because the mean of its divisors is an integer number (1611561).

Almost surely, 212638033 is an apocalyptic number.

It is an amenable number.

12638033 is a deficient number, since it is larger than the sum of its proper divisors (254455).

12638033 is a wasteful number, since it uses less digits than its factorization.

12638033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 12638033 is about 3555.0011251756. The cubic root of 12638033 is about 232.9305729895.

The spelling of 12638033 in words is "twelve million, six hundred thirty-eight thousand, thirty-three".

Divisors: 1 97 113 1153 10961 111841 130289 12638033