Search a number
-
+
12164634 = 233474793
BaseRepresentation
bin101110011001…
…111000011010
3211220000202000
4232121320122
511103232014
61112421430
7205253256
oct56317032
924800660
1012164634
116959519
1240a7876
13269bc11
141889266
151104509
hexb99e1a

12164634 has 32 divisors (see below), whose sum is σ = 27613440. Its totient is φ = 3967776.

The previous prime is 12164629. The next prime is 12164653. The reversal of 12164634 is 43646121.

12164634 is a `hidden beast` number, since 1 + 21 + 6 + 4 + 634 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12164598 and 12164607.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 142 + ... + 4934.

It is an arithmetic number, because the mean of its divisors is an integer number (862920).

Almost surely, 212164634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12164634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13806720).

12164634 is an abundant number, since it is smaller than the sum of its proper divisors (15448806).

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

12164634 is a wasteful number, since it uses less digits than its factorization.

12164634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4851 (or 4845 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 12164634 is about 3487.7835368612. The cubic root of 12164634 is about 229.9850904009.

The spelling of 12164634 in words is "twelve million, one hundred sixty-four thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 2538 4793 9586 14379 28758 43137 86274 129411 225271 258822 450542 675813 1351626 2027439 4054878 6082317 12164634