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560728 = 237171931
BaseRepresentation
bin10001000111001011000
31001111011201
42020321120
5120420403
620003544
74523530
oct2107130
91044151
10560728
11353313
122305b4
131682bc
141084c0
15b121d
hex88e58

560728 has 64 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 207360.

The previous prime is 560719. The next prime is 560737. The reversal of 560728 is 827065.

It is an interprime number because it is at equal distance from previous prime (560719) and next prime (560737).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 560696 and 560705.

It is a congruent number.

It is an unprimeable number.

560728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18073 + ... + 18103.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2560728 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 560728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

560728 is an abundant number, since it is smaller than the sum of its proper divisors (821672).

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

560728 is a wasteful number, since it uses less digits than its factorization.

560728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 560728 is about 748.8177348327. The cubic root of 560728 is about 82.4614083356.

The spelling of 560728 in words is "five hundred sixty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 17 19 28 31 34 38 56 62 68 76 119 124 133 136 152 217 238 248 266 323 434 476 527 532 589 646 868 952 1054 1064 1178 1292 1736 2108 2261 2356 2584 3689 4123 4216 4522 4712 7378 8246 9044 10013 14756 16492 18088 20026 29512 32984 40052 70091 80104 140182 280364 560728