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563064 = 23329809
BaseRepresentation
bin10001001011101111000
31001121101020
42021131320
5121004224
620022440
74533405
oct2113570
91047336
10563064
11355047
12231a20
13169398
141092ac
15b1c79
hex89778

563064 has 32 divisors (see below), whose sum is σ = 1458000. Its totient is φ = 180992.

The previous prime is 563051. The next prime is 563077. The reversal of 563064 is 460365.

563064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (563051) and next prime (563077).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 5 + 64 + 0 + 39 + 67 + 49 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292 + ... + 1100.

2563064 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 563064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729000).

563064 is an abundant number, since it is smaller than the sum of its proper divisors (894936).

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

563064 is a wasteful number, since it uses less digits than its factorization.

563064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 563064 is about 750.3759057966. The cubic root of 563064 is about 82.5757614431.

The spelling of 563064 in words is "five hundred sixty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 809 1618 2427 3236 4854 6472 9708 19416 23461 46922 70383 93844 140766 187688 281532 563064