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18768764 = 2272313089
BaseRepresentation
bin100011110011…
…0001101111100
31022022112220102
41013212031330
514301100024
61510140232
7315350300
oct107461574
938275812
1018768764
11a65a283
126351678
133b71ba1
1426c7d00
1519ab1ae
hex11e637c

18768764 has 36 divisors (see below), whose sum is σ = 39453120. Its totient is φ = 7781760.

The previous prime is 18768727. The next prime is 18768773. The reversal of 18768764 is 46786781.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4532 + ... + 7620.

It is an arithmetic number, because the mean of its divisors is an integer number (1095920).

Almost surely, 218768764 is an apocalyptic number.

18768764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18768764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19726560).

18768764 is an abundant number, since it is smaller than the sum of its proper divisors (20684356).

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

18768764 is a wasteful number, since it uses less digits than its factorization.

18768764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3129 counting only the distinct ones).

The product of its digits is 451584, while the sum is 47.

The square root of 18768764 is about 4332.2931572090. The cubic root of 18768764 is about 265.7532337514.

The spelling of 18768764 in words is "eighteen million, seven hundred sixty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 1519 3038 3089 6076 6178 12356 21623 43246 86492 95759 151361 191518 302722 383036 605444 670313 1340626 2681252 4692191 9384382 18768764