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56600320 = 28576317
BaseRepresentation
bin1101011111101…
…0011100000000
310221111121001011
43113322130000
5103442202240
65341050304
71255044340
oct327723400
9127447034
1056600320
1129a49727
1216b56994
13b95971a
147734d20
154e806ea
hex35fa700

56600320 has 72 divisors (see below), whose sum is σ = 154967904. Its totient is φ = 19402752.

The previous prime is 56600311. The next prime is 56600347. The reversal of 56600320 is 2300665.

56600320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56600291 and 56600300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5802 + ... + 12118.

It is an arithmetic number, because the mean of its divisors is an integer number (2152332).

Almost surely, 256600320 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 56600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77483952).

56600320 is an abundant number, since it is smaller than the sum of its proper divisors (98367584).

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

56600320 is an equidigital number, since it uses as much as digits as its factorization.

56600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345 (or 6331 counting only the distinct ones).

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

The square root of 56600320 is about 7523.3184167626. The cubic root of 56600320 is about 383.9484884607.

Adding to 56600320 its reverse (2300665), we get a palindrome (58900985).

The spelling of 56600320 in words is "fifty-six million, six hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 6317 8960 12634 25268 31585 44219 50536 63170 88438 101072 126340 176876 202144 221095 252680 353752 404288 442190 505360 707504 808576 884380 1010720 1415008 1617152 1768760 2021440 2830016 3537520 4042880 5660032 7075040 8085760 11320064 14150080 28300160 56600320