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18004986 = 2323141787
BaseRepresentation
bin100010010101…
…1101111111010
31020212202012100
41010223233322
514102124421
61441524230
7306016446
oct104535772
936782170
1018004986
11a18845a
126043676
13396534c
142569826
1518a9c26
hex112bbfa

18004986 has 48 divisors (see below), whose sum is σ = 41303808. Its totient is φ = 5659200.

The previous prime is 18004963. The next prime is 18004991. The reversal of 18004986 is 68940081.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18004986.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22485 + ... + 23271.

It is an arithmetic number, because the mean of its divisors is an integer number (860496).

Almost surely, 218004986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18004986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20651904).

18004986 is an abundant number, since it is smaller than the sum of its proper divisors (23298822).

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

18004986 is a wasteful number, since it uses less digits than its factorization.

18004986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18004986 is about 4243.2282521684. The cubic root of 18004986 is about 262.0983353658.

It can be divided in two parts, 1800 and 4986, that added together give a triangular number (6786 = T116).

The spelling of 18004986 in words is "eighteen million, four thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 31 41 62 82 93 123 186 246 279 369 558 738 787 1271 1574 2361 2542 3813 4722 7083 7626 11439 14166 22878 24397 32267 48794 64534 73191 96801 146382 193602 219573 290403 439146 580806 1000277 2000554 3000831 6001662 9002493 18004986