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12187216 = 243124571
BaseRepresentation
bin101110011111…
…011001010000
3211221011201101
4232133121100
511104442331
61113114144
7205406146
oct56373120
924834641
1012187216
116974488
1240b8954
1326a9292
141893596
15110b061
hexb9f650

12187216 has 20 divisors (see below), whose sum is σ = 24375424. Its totient is φ = 5896800.

The previous prime is 12187213. The next prime is 12187223. The reversal of 12187216 is 61278121.

12187216 is an admirable number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12187211) 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 3 ways as a sum of consecutive naturals, for example, 11790 + ... + 12781.

Almost surely, 212187216 is an apocalyptic number.

12187216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12187216 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

12187216 is a wasteful number, since it uses less digits than its factorization.

12187216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24610 (or 24604 counting only the distinct ones).

The product of its digits is 1344, while the sum is 28.

The square root of 12187216 is about 3491.0193353804. The cubic root of 12187216 is about 230.1273145163.

It can be divided in two parts, 12187 and 216, that added together give a triangular number (12403 = T157).

The spelling of 12187216 in words is "twelve million, one hundred eighty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 62 124 248 496 24571 49142 98284 196568 393136 761701 1523402 3046804 6093608 12187216