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1020564 = 223228349
BaseRepresentation
bin11111001001010010100
31220211221200
43321022110
5230124224
633512500
711450256
oct3711224
91824850
101020564
11637846
12412730
132996ac
141c7cd6
151525c9
hexf9294

1020564 has 18 divisors (see below), whose sum is σ = 2579850. Its totient is φ = 340176.

The previous prime is 1020557. The next prime is 1020583. The reversal of 1020564 is 4650201.

It is a happy number.

1020564 is a `hidden beast` number, since 102 + 0 + 564 = 666.

1020564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 608400 + 412164 = 780^2 + 642^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14139 + ... + 14210.

It is an arithmetic number, because the mean of its divisors is an integer number (143325).

21020564 is an apocalyptic number.

It is an amenable number.

1020564 is an abundant number, since it is smaller than the sum of its proper divisors (1559286).

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

1020564 is a wasteful number, since it uses less digits than its factorization.

1020564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28359 (or 28354 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1020564 is about 1010.2296768557. The cubic root of 1020564 is about 100.6808209756.

Adding to 1020564 its reverse (4650201), we get a palindrome (5670765).

The spelling of 1020564 in words is "one million, twenty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 28349 56698 85047 113396 170094 255141 340188 510282 1020564