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563201320 = 235115324151
BaseRepresentation
bin100001100100011…
…100010100101000
31110020202120222011
4201210130110220
52123134420240
6131515205304
716646063233
oct4144342450
91406676864
10563201320
11269a04540
12138746834
138c8b3226
1454b2841a
153469e6ea
hex2191c528

563201320 has 64 divisors (see below), whose sum is σ = 1408544640. Its totient is φ = 200928000.

The previous prime is 563201311. The next prime is 563201339. The reversal of 563201320 is 23102365.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 563201291 and 563201300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11245 + ... + 35395.

It is an arithmetic number, because the mean of its divisors is an integer number (22008510).

Almost surely, 2563201320 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 563201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704272320).

563201320 is an abundant number, since it is smaller than the sum of its proper divisors (845343320).

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

563201320 is a wasteful number, since it uses less digits than its factorization.

563201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24226 (or 24222 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 563201320 is about 23731.8629694342. The cubic root of 563201320 is about 825.8247375397.

Adding to 563201320 its reverse (23102365), we get a palindrome (586303685).

The spelling of 563201320 in words is "five hundred sixty-three million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 1060 1166 2120 2332 2915 4664 5830 11660 23320 24151 48302 96604 120755 193208 241510 265661 483020 531322 966040 1062644 1280003 1328305 2125288 2560006 2656610 5120012 5313220 6400015 10240024 10626440 12800030 14080033 25600060 28160066 51200120 56320132 70400165 112640264 140800330 281600660 563201320