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18142668 = 2232503963
BaseRepresentation
bin100010100110…
…1010111001100
31021010202001200
41011031113030
514121031133
61444505500
7310132035
oct105152714
937122050
1018142668
11a271945
1260ab290
1339b2c0b
1425a3a8c
1518d5913
hex114d5cc

18142668 has 18 divisors (see below), whose sum is σ = 45860724. Its totient is φ = 6047544.

The previous prime is 18142651. The next prime is 18142673. The reversal of 18142668 is 86624181.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) 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 (36), and also a Moran number because the ratio is a prime number: 503963 = 18142668 / (1 + 8 + 1 + 4 + 2 + 6 + 6 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 251946 + ... + 252017.

It is an arithmetic number, because the mean of its divisors is an integer number (2547818).

Almost surely, 218142668 is an apocalyptic number.

18142668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18142668 is an abundant number, since it is smaller than the sum of its proper divisors (27718056).

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

18142668 is a wasteful number, since it uses less digits than its factorization.

18142668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503973 (or 503968 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 18142668 is about 4259.4210874249. The cubic root of 18142668 is about 262.7647179896.

It can be divided in two parts, 181 and 42668, that added together give a square (42849 = 2072).

The spelling of 18142668 in words is "eighteen million, one hundred forty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 503963 1007926 1511889 2015852 3023778 4535667 6047556 9071334 18142668