Search a number
-
+
18182718 = 2374157
BaseRepresentation
bin100010101011…
…1001000111110
31021012210000000
41011113020332
514123321333
61445415130
7310356561
oct105271076
937183000
1018182718
11a299a44
12610a4a6
1339c8208
1425b44d8
1518e2713
hex115723e

18182718 has 32 divisors (see below), whose sum is σ = 40914720. Its totient is φ = 6059448.

The previous prime is 18182711. The next prime is 18182737. The reversal of 18182718 is 81728181.

It is a super-2 number, since 2×181827182 = 661222467735048, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18182711) by changing a digit.

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, 2296 + ... + 6452.

It is an arithmetic number, because the mean of its divisors is an integer number (1278585).

Almost surely, 218182718 is an apocalyptic number.

18182718 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18182718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20457360).

18182718 is an abundant number, since it is smaller than the sum of its proper divisors (22732002).

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

18182718 is an frugal number, since it uses more digits than its factorization.

18182718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4162 counting only the distinct ones).

The product of its digits is 7168, while the sum is 36.

The square root of 18182718 is about 4264.1198388413. The cubic root of 18182718 is about 262.9579272191.

The spelling of 18182718 in words is "eighteen million, one hundred eighty-two thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4157 4374 8314 12471 24942 37413 74826 112239 224478 336717 673434 1010151 2020302 3030453 6060906 9091359 18182718