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560385 = 3357593
BaseRepresentation
bin10001000110100000001
31001110201000
42020310001
5120413020
620002213
74522530
oct2106401
91043630
10560385
11353031
12230369
131680b7
14108317
15b1090
hex88d01

560385 has 32 divisors (see below), whose sum is σ = 1140480. Its totient is φ = 255744.

The previous prime is 560353. The next prime is 560393. The reversal of 560385 is 583065.

It is not a de Polignac number, because 560385 - 25 = 560353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

560385 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 649 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (35640).

2560385 is an apocalyptic number.

It is an amenable number.

560385 is an abundant number, since it is smaller than the sum of its proper divisors (580095).

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

560385 is a wasteful number, since it uses less digits than its factorization.

560385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 560385 is about 748.5886721024. The cubic root of 560385 is about 82.4445908933. Note that the first 3 decimals are identical.

The spelling of 560385 in words is "five hundred sixty thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 593 945 1779 2965 4151 5337 8895 12453 16011 20755 26685 37359 62265 80055 112077 186795 560385