Search a number
-
+
18162936 = 233211171971
BaseRepresentation
bin100010101001…
…0010011111000
31021011202212100
41011102103320
514122203221
61445143400
7310245111
oct105222370
937152770
1018162936
11a2860a0
1260bab60
1339bc1cc
1425ab208
1518db926
hex11524f8

18162936 has 192 divisors, whose sum is σ = 60652800. Its totient is φ = 4838400.

The previous prime is 18162923. The next prime is 18162971. The reversal of 18162936 is 63926181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18162936.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 255781 + ... + 255851.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 218162936 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 18162936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30326400).

18162936 is an abundant number, since it is smaller than the sum of its proper divisors (42489864).

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

18162936 is a wasteful number, since it uses less digits than its factorization.

18162936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 123 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 18162936 is about 4261.7996198789. The cubic root of 18162936 is about 262.8625303829.

The spelling of 18162936 in words is "eighteen million, one hundred sixty-two thousand, nine hundred thirty-six".