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13182318 = 2331012417
BaseRepresentation
bin110010010010…
…010101101110
3220210201202000
4302102111232
511333313233
61150313130
7220022262
oct62222556
926721660
1013182318
117494086
1244b87a6
1329671b6
141a720a2
151255d13
hexc9256e

13182318 has 32 divisors (see below), whose sum is σ = 29596320. Its totient is φ = 4348800.

The previous prime is 13182287. The next prime is 13182329. The reversal of 13182318 is 81328131.

13182318 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13182291 and 13182300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4246 + ... + 6662.

It is an arithmetic number, because the mean of its divisors is an integer number (924885).

Almost surely, 213182318 is an apocalyptic number.

13182318 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 13182318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798160).

13182318 is an abundant number, since it is smaller than the sum of its proper divisors (16414002).

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

13182318 is a wasteful number, since it uses less digits than its factorization.

13182318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2523 counting only the distinct ones).

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

The square root of 13182318 is about 3630.7462042946. The cubic root of 13182318 is about 236.2275766070.

It can be divided in two parts, 131823 and 18, that added together give a triangular number (131841 = T513).

The spelling of 13182318 in words is "thirteen million, one hundred eighty-two thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1818 2417 2727 4834 5454 7251 14502 21753 43506 65259 130518 244117 488234 732351 1464702 2197053 4394106 6591159 13182318