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12811284 = 223439541
BaseRepresentation
bin110000110111…
…110000010100
3220002212210000
4300313300110
511234430114
61134331300
7213615453
oct60676024
926085700
1012811284
117260342
124359b30
132867355
1419b6b9a
1511d0e09
hexc37c14

12811284 has 30 divisors (see below), whose sum is σ = 33492074. Its totient is φ = 4270320.

The previous prime is 12811261. The next prime is 12811289. The reversal of 12811284 is 48211821.

It can be written as a sum of positive squares in only one way, i.e., 6906384 + 5904900 = 2628^2 + 2430^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12811289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19447 + ... + 20094.

Almost surely, 212811284 is an apocalyptic number.

It is an amenable number.

12811284 is an abundant number, since it is smaller than the sum of its proper divisors (20680790).

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

12811284 is a wasteful number, since it uses less digits than its factorization.

12811284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39557 (or 39546 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 12811284 is about 3579.2854035408. The cubic root of 12811284 is about 233.9901376514.

The spelling of 12811284 in words is "twelve million, eight hundred eleven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 39541 79082 118623 158164 237246 355869 474492 711738 1067607 1423476 2135214 3202821 4270428 6405642 12811284