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12996438 = 2371321831
BaseRepresentation
bin110001100100…
…111101010110
3220110021202120
4301210331112
511311341223
61142320410
7215316330
oct61447526
926407676
1012996438
117377464
124429106
132900700
141a24450
15121abe3
hexc64f56

12996438 has 48 divisors (see below), whose sum is σ = 32184576. Its totient is φ = 3425760.

The previous prime is 12996433. The next prime is 12996457. The reversal of 12996438 is 83469921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12996438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12996433) 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, 6183 + ... + 8013.

It is an arithmetic number, because the mean of its divisors is an integer number (670512).

Almost surely, 212996438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12996438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16092288).

12996438 is an abundant number, since it is smaller than the sum of its proper divisors (19188138).

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

12996438 is a wasteful number, since it uses less digits than its factorization.

12996438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1856 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 12996438 is about 3605.0572810983. The cubic root of 12996438 is about 235.1119912869. Note that the first 3 decimals are identical.

The spelling of 12996438 in words is "twelve million, nine hundred ninety-six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 507 546 1014 1183 1831 2366 3549 3662 5493 7098 10986 12817 23803 25634 38451 47606 71409 76902 142818 166621 309439 333242 499863 618878 928317 999726 1856634 2166073 4332146 6498219 12996438