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563680 = 25513271
BaseRepresentation
bin10001001100111100000
31001122020001
42021213200
5121014210
620025344
74535245
oct2114740
91048201
10563680
11355557
12232254
13169750
141095cc
15b203a
hex899e0

563680 has 48 divisors (see below), whose sum is σ = 1439424. Its totient is φ = 207360.

The previous prime is 563663. The next prime is 563723. The reversal of 563680 is 86365.

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

563680 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 7 ways as a sum of consecutive naturals, for example, 1945 + ... + 2215.

It is an arithmetic number, because the mean of its divisors is an integer number (29988).

2563680 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 563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719712).

563680 is an abundant number, since it is smaller than the sum of its proper divisors (875744).

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

563680 is a wasteful number, since it uses less digits than its factorization.

563680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

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

The square root of 563680 is about 750.7862545359. The cubic root of 563680 is about 82.6058634863.

The spelling of 563680 in words is "five hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 271 416 520 542 1040 1084 1355 2080 2168 2710 3523 4336 5420 7046 8672 10840 14092 17615 21680 28184 35230 43360 56368 70460 112736 140920 281840 563680