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12494106 = 23223103293
BaseRepresentation
bin101111101010…
…010100011010
3212111202200200
4233222110122
511144302411
61123443030
7211124652
oct57522432
925452620
1012494106
117064009
124226476
132785b81
141933362
15116be56
hexbea51a

12494106 has 48 divisors (see below), whose sum is σ = 28619136. Its totient is φ = 3931488.

The previous prime is 12494047. The next prime is 12494107. The reversal of 12494106 is 60149421.

12494106 is a `hidden beast` number, since 1 + 249 + 410 + 6 = 666.

It is a super-2 number, since 2×124941062 = 312205369478472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12494106.

It is not an unprimeable number, because it can be changed into a prime (12494107) 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 23 ways as a sum of consecutive naturals, for example, 42496 + ... + 42788.

It is an arithmetic number, because the mean of its divisors is an integer number (596232).

Almost surely, 212494106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12494106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14309568).

12494106 is an abundant number, since it is smaller than the sum of its proper divisors (16125030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12494106 is a wasteful number, since it uses less digits than its factorization.

12494106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12494106 is about 3534.7002701785. The cubic root of 12494106 is about 232.0429592465.

The spelling of 12494106 in words is "twelve million, four hundred ninety-four thousand, one hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 103 138 206 207 293 309 414 586 618 879 927 1758 1854 2369 2637 4738 5274 6739 7107 13478 14214 20217 21321 30179 40434 42642 60358 60651 90537 121302 181074 271611 543222 694117 1388234 2082351 4164702 6247053 12494106