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18006318 = 23211211431
BaseRepresentation
bin100010010110…
…0000100101110
31020212211000200
41010230010232
514102200233
61441534330
7306023361
oct104540456
936784020
1018006318
11a189460
1260443a6
133965b35
14256a0d8
1518aa313
hex112c12e

18006318 has 48 divisors (see below), whose sum is σ = 42861312. Its totient is φ = 5418000.

The previous prime is 18006299. The next prime is 18006323. The reversal of 18006318 is 81360081.

18006318 is a modest number, since divided by 6318 gives 18 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 18006291 and 18006300.

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, 41563 + ... + 41993.

It is an arithmetic number, because the mean of its divisors is an integer number (892944).

Almost surely, 218006318 is an apocalyptic number.

18006318 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 18006318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21430656).

18006318 is an abundant number, since it is smaller than the sum of its proper divisors (24854994).

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

18006318 is a wasteful number, since it uses less digits than its factorization.

18006318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 18006318 is about 4243.3852052341. The cubic root of 18006318 is about 262.1047985084.

Adding to 18006318 its reverse (81360081), we get a palindrome (99366399).

It can be divided in two parts, 180063 and 18, that added together give a palindrome (180081).

The spelling of 18006318 in words is "eighteen million, six thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 211 422 431 633 862 1266 1293 1899 2321 2586 3798 3879 4642 4741 6963 7758 9482 13926 14223 20889 28446 41778 42669 85338 90941 181882 272823 545646 818469 1000351 1636938 2000702 3001053 6002106 9003159 18006318