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18378164 = 227312683
BaseRepresentation
bin100011000011…
…0110110110100
31021120201002202
41012012312310
514201100124
61453524032
7312132440
oct106066664
937521082
1018378164
11a412872
1261a3618
133a6616c
142625820
1519305ae
hex1186db4

18378164 has 36 divisors (see below), whose sum is σ = 38035872. Its totient is φ = 7611120.

The previous prime is 18378091. The next prime is 18378169. The reversal of 18378164 is 46187381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18378169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26567 + ... + 27249.

It is an arithmetic number, because the mean of its divisors is an integer number (1056552).

Almost surely, 218378164 is an apocalyptic number.

18378164 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 18378164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19017936).

18378164 is an abundant number, since it is smaller than the sum of its proper divisors (19657708).

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

18378164 is a wasteful number, since it uses less digits than its factorization.

18378164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 723 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 18378164 is about 4286.9760904395. The cubic root of 18378164 is about 263.8967494923.

It can be divided in two parts, 1837 and 8164, that added together give a palindrome (10001).

The spelling of 18378164 in words is "eighteen million, three hundred seventy-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 683 868 961 1366 1922 2732 3844 4781 6727 9562 13454 19124 21173 26908 42346 84692 148211 296422 592844 656363 1312726 2625452 4594541 9189082 18378164