Search a number
-
+
23628186 = 234157929
BaseRepresentation
bin101101000100…
…0100110011010
31122110102210000
41122020212122
522022100221
62202233430
7404556561
oct132104632
948412700
1023628186
111237922a
127ab5876
134b8399a
1431d0bd8
15211ae26
hex168899a

23628186 has 40 divisors (see below), whose sum is σ = 53339220. Its totient is φ = 7817472.

The previous prime is 23628151. The next prime is 23628211. The reversal of 23628186 is 68182632.

23628186 is a `hidden beast` number, since 23 + 628 + 1 + 8 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19527561 + 4100625 = 4419^2 + 2025^2 .

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 23628186.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 24970 + ... + 25898.

It is a vampire number, since it can be written as 28268361 (with its own digits).

Almost surely, 223628186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23628186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26669610).

23628186 is an abundant number, since it is smaller than the sum of its proper divisors (29711034).

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

23628186 is a wasteful number, since it uses less digits than its factorization.

23628186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1091 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 23628186 is about 4860.8832530724. The cubic root of 23628186 is about 286.9525754578.

The spelling of 23628186 in words is "twenty-three million, six hundred twenty-eight thousand, one hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 81 157 162 314 471 929 942 1413 1858 2787 2826 4239 5574 8361 8478 12717 16722 25083 25434 50166 75249 145853 150498 291706 437559 875118 1312677 2625354 3938031 7876062 11814093 23628186