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523020 = 223523379
BaseRepresentation
bin1111111101100001100
3222120110010
41333230030
5113214040
615113220
74305561
oct1775414
9876403
10523020
11327a53
12212810
131540a4
14d8868
15a4e80
hex7fb0c

523020 has 48 divisors (see below), whose sum is σ = 1532160. Its totient is φ = 133056.

The previous prime is 523007. The next prime is 523021. The reversal of 523020 is 20325.

523020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 522987 and 523005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1191 + ... + 1569.

It is an arithmetic number, because the mean of its divisors is an integer number (31920).

2523020 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 523020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080).

523020 is an abundant number, since it is smaller than the sum of its proper divisors (1009140).

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

523020 is a wasteful number, since it uses less digits than its factorization.

523020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 523020 is about 723.2012168131. The cubic root of 523020 is about 80.5698890247.

Adding to 523020 its reverse (20325), we get a palindrome (543345).

The spelling of 523020 in words is "five hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 379 460 690 758 1137 1380 1516 1895 2274 3790 4548 5685 7580 8717 11370 17434 22740 26151 34868 43585 52302 87170 104604 130755 174340 261510 523020