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12766405 = 517150193
BaseRepresentation
bin110000101100…
…110011000101
3220000121012211
4300230303011
511232011110
61133343421
7213340561
oct60546305
926017184
1012766405
11722a653
124337b71
13284cab2
1419a46a1
1511c298a
hexc2ccc5

12766405 has 8 divisors (see below), whose sum is σ = 16220952. Its totient is φ = 9612288.

The previous prime is 12766393. The next prime is 12766441. The reversal of 12766405 is 50466721.

12766405 = 25262 + 25272.

It is a happy number.

12766405 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1083681 + 11682724 = 1041^2 + 3418^2 .

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 12766405 - 25 = 12766373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 75012 + ... + 75181.

It is an arithmetic number, because the mean of its divisors is an integer number (2027619).

Almost surely, 212766405 is an apocalyptic number.

12766405 is the 2527-th centered square number.

It is an amenable number.

12766405 is a deficient number, since it is larger than the sum of its proper divisors (3454547).

12766405 is a wasteful number, since it uses less digits than its factorization.

12766405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150215.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 12766405 is about 3573.0106353046. The cubic root of 12766405 is about 233.7165889696.

The spelling of 12766405 in words is "twelve million, seven hundred sixty-six thousand, four hundred five".

Divisors: 1 5 17 85 150193 750965 2553281 12766405