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560144 = 24132693
BaseRepresentation
bin10001000110000010000
31001110101002
42020300100
5120411034
620001132
74522034
oct2106020
91043332
10560144
11352932
122301a8
13167c60
141081c4
15b0e7e
hex88c10

560144 has 20 divisors (see below), whose sum is σ = 1169196. Its totient is φ = 258432.

The previous prime is 560137. The next prime is 560149. The reversal of 560144 is 441065.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 150544 + 409600 = 388^2 + 640^2 .

It is a super-2 number, since 2×5601442 = 627522601472, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 560144.

It is not an unprimeable number, because it can be changed into a prime (560149) by changing a digit.

560144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1139 + ... + 1554.

2560144 is an apocalyptic number.

It is an amenable number.

560144 is an abundant number, since it is smaller than the sum of its proper divisors (609052).

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

560144 is a wasteful number, since it uses less digits than its factorization.

560144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 560144 is about 748.4276852175. The cubic root of 560144 is about 82.4327704512.

The spelling of 560144 in words is "five hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 2693 5386 10772 21544 35009 43088 70018 140036 280072 560144