Search a number
-
+
18419664 = 2431921063
BaseRepresentation
bin100011001000…
…0111111010000
31021122211000210
41012100333100
514203412124
61454444120
7312364434
oct106207720
937584023
1018419664
11a440a6a
126203640
133a7c013
1426369c4
15193ca29
hex1190fd0

18419664 has 60 divisors (see below), whose sum is σ = 50267616. Its totient is φ = 5811264.

The previous prime is 18419663. The next prime is 18419677. The reversal of 18419664 is 46691481.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18419663) 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 11 ways as a sum of consecutive naturals, for example, 16797 + ... + 17859.

Almost surely, 218419664 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 18419664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25133808).

18419664 is an abundant number, since it is smaller than the sum of its proper divisors (31847952).

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

18419664 is a wasteful number, since it uses less digits than its factorization.

18419664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1087 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 18419664 is about 4291.8136026626. The cubic root of 18419664 is about 264.0952365305.

The spelling of 18419664 in words is "eighteen million, four hundred nineteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 722 912 1063 1083 1444 2126 2166 2888 3189 4252 4332 5776 6378 8504 8664 12756 17008 17328 20197 25512 40394 51024 60591 80788 121182 161576 242364 323152 383743 484728 767486 969456 1151229 1534972 2302458 3069944 4604916 6139888 9209832 18419664