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18765136 = 241390217
BaseRepresentation
bin100011110010…
…1010101010000
31022022100221001
41013211111100
514300441021
61510111344
7315333565
oct107452520
938270831
1018765136
11a657585
12634b554
133b70340
1426c686c
1519aa091
hex11e5550

18765136 has 20 divisors (see below), whose sum is σ = 39154612. Its totient is φ = 8660736.

The previous prime is 18765133. The next prime is 18765143. The reversal of 18765136 is 63156781.

It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 8880400 = 3144^2 + 2980^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18765095 and 18765104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18765133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44901 + ... + 45316.

Almost surely, 218765136 is an apocalyptic number.

18765136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18765136 is an abundant number, since it is smaller than the sum of its proper divisors (20389476).

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

18765136 is a wasteful number, since it uses less digits than its factorization.

18765136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90238 (or 90232 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 18765136 is about 4331.8744210792. The cubic root of 18765136 is about 265.7361092911.

The spelling of 18765136 in words is "eighteen million, seven hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 90217 180434 360868 721736 1172821 1443472 2345642 4691284 9382568 18765136