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563860 = 225112233
BaseRepresentation
bin10001001101010010100
31001122110201
42021222110
5121020420
620030244
74535623
oct2115224
91048421
10563860
11355700
12232384
1316985b
141096ba
15b210a
hex89a94

563860 has 36 divisors (see below), whose sum is σ = 1307124. Its totient is φ = 204160.

The previous prime is 563851. The next prime is 563869. The reversal of 563860 is 68365.

563860 = 732 + 742 + ... + 1272.

It is an interprime number because it is at equal distance from previous prime (563851) and next prime (563869).

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 407044 = 396^2 + 638^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2304 + ... + 2536.

It is an arithmetic number, because the mean of its divisors is an integer number (36309).

2563860 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 563860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653562).

563860 is an abundant number, since it is smaller than the sum of its proper divisors (743264).

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

563860 is a wasteful number, since it uses less digits than its factorization.

563860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 563860 is about 750.9061192985. The cubic root of 563860 is about 82.6146553972.

It can be divided in two parts, 56 and 3860, that added together give a triangular number (3916 = T88).

The spelling of 563860 in words is "five hundred sixty-three thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 233 242 466 484 605 932 1165 1210 2330 2420 2563 4660 5126 10252 12815 25630 28193 51260 56386 112772 140965 281930 563860