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56864130 = 2354183557
BaseRepresentation
bin1101100011101…
…0110110000010
310221222222220220
43120322312002
5104024123010
65350443510
71260223431
oct330726602
9127888826
1056864130
112a109954
1217063596
13ba1c81b
1477a3118
154ed3970
hex363ad82

56864130 has 64 divisors (see below), whose sum is σ = 141740928. Its totient is φ = 14589440.

The previous prime is 56864117. The next prime is 56864149. The reversal of 56864130 is 3146865.

56864130 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 = 56864091 and 56864100.

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 31 ways as a sum of consecutive naturals, for example, 101812 + ... + 102368.

It is an arithmetic number, because the mean of its divisors is an integer number (2214702).

Almost surely, 256864130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56864130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70870464).

56864130 is an abundant number, since it is smaller than the sum of its proper divisors (84876798).

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

56864130 is a wasteful number, since it uses less digits than its factorization.

56864130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 56864130 is about 7540.8308560795. The cubic root of 56864130 is about 384.5440827928.

The spelling of 56864130 in words is "fifty-six million, eight hundred sixty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 83 123 166 205 246 249 410 415 498 557 615 830 1114 1230 1245 1671 2490 2785 3342 3403 5570 6806 8355 10209 16710 17015 20418 22837 34030 45674 46231 51045 68511 92462 102090 114185 137022 138693 228370 231155 277386 342555 462310 685110 693465 1386930 1895471 3790942 5686413 9477355 11372826 18954710 28432065 56864130