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12938401 = 72713719
BaseRepresentation
bin110001010110…
…110010100001
3220100100011001
4301112302201
511303012101
61141152001
7214655200
oct61266241
926310131
1012938401
1173378a3
1243bb601
1328b0178
141a0b237
151208901
hexc56ca1

12938401 has 12 divisors (see below), whose sum is σ = 15266880. Its totient is φ = 10930920.

The previous prime is 12938389. The next prime is 12938461. The reversal of 12938401 is 10483921.

It is a happy number.

It is not a de Polignac number, because 12938401 - 27 = 12938273 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 12938401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12938461) 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 11 ways as a sum of consecutive naturals, for example, 1620 + ... + 5338.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 212938401 is an apocalyptic number.

It is an amenable number.

12938401 is a deficient number, since it is larger than the sum of its proper divisors (2328479).

12938401 is an equidigital number, since it uses as much as digits as its factorization.

12938401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 12938401 is about 3596.9988879620. The cubic root of 12938401 is about 234.7614963655.

The spelling of 12938401 in words is "twelve million, nine hundred thirty-eight thousand, four hundred one".

Divisors: 1 7 49 71 497 3479 3719 26033 182231 264049 1848343 12938401