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12643284 = 22319232411
BaseRepresentation
bin110000001110…
…101111010100
3212210100022210
4300032233110
511214041114
61130553420
7212315613
oct60165724
925710283
1012643284
1171560a5
124298870
132808a44
14197187a
15119b259
hexc0ebd4

12643284 has 48 divisors (see below), whose sum is σ = 32417280. Its totient is φ = 3817440.

The previous prime is 12643283. The next prime is 12643313. The reversal of 12643284 is 48234621.

12643284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12643283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4039 + ... + 6449.

It is an arithmetic number, because the mean of its divisors is an integer number (675360).

Almost surely, 212643284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12643284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16208640).

12643284 is an abundant number, since it is smaller than the sum of its proper divisors (19773996).

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

12643284 is a wasteful number, since it uses less digits than its factorization.

12643284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2458 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 12643284 is about 3555.7395855152. The cubic root of 12643284 is about 232.9628287759.

The spelling of 12643284 in words is "twelve million, six hundred forty-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2411 2622 4822 5244 7233 9644 14466 28932 45809 55453 91618 110906 137427 166359 183236 221812 274854 332718 549708 665436 1053607 2107214 3160821 4214428 6321642 12643284