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523668 = 223172151
BaseRepresentation
bin1111111110110010100
3222121100010
41333312110
5113224133
615120220
74310505
oct1776624
9877303
10523668
11328492
12213070
13154482
14d8bac
15a5263
hex7fd94

523668 has 36 divisors (see below), whose sum is σ = 1306592. Its totient is φ = 163200.

The previous prime is 523667. The next prime is 523669. The reversal of 523668 is 866325.

523668 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (523667) and next prime (523669).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

Its product of digits (8640) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3393 + ... + 3543.

2523668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653296).

523668 is an abundant number, since it is smaller than the sum of its proper divisors (782924).

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

523668 is a wasteful number, since it uses less digits than its factorization.

523668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 523668 is about 723.6490862290. The cubic root of 523668 is about 80.6031495382.

The spelling of 523668 in words is "five hundred twenty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 151 204 289 302 453 578 604 867 906 1156 1734 1812 2567 3468 5134 7701 10268 15402 30804 43639 87278 130917 174556 261834 523668