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12286064 = 247215671
BaseRepresentation
bin101110110111…
…100001110000
3212010012022102
4232313201300
511121123224
61115155532
7206300300
oct56674160
925105272
1012286064
116a3177a
124145ba8
13271227b
1418bb600
15112a4ae
hexbb7870

12286064 has 30 divisors (see below), whose sum is σ = 27692424. Its totient is φ = 5265120.

The previous prime is 12286051. The next prime is 12286067. The reversal of 12286064 is 46068221.

It is a super-2 number, since 2×122860642 = 301894737224192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12286067) 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 5 ways as a sum of consecutive naturals, for example, 7052 + ... + 8619.

Almost surely, 212286064 is an apocalyptic number.

12286064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12286064 is an abundant number, since it is smaller than the sum of its proper divisors (15406360).

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

12286064 is a wasteful number, since it uses less digits than its factorization.

12286064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15693 (or 15680 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 12286064 is about 3505.1482136994. The cubic root of 12286064 is about 230.7478117100.

The spelling of 12286064 in words is "twelve million, two hundred eighty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 15671 31342 62684 109697 125368 219394 250736 438788 767879 877576 1535758 1755152 3071516 6143032 12286064