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56560014 = 232739161
BaseRepresentation
bin1101011111000…
…0100110001110
310221102112202100
43113300212032
5103434410024
65340135530
71254516000
oct327604616
9127375670
1056560014
1129a21415
1216b375a6
13b944284
147724370
154e737c9
hex35f098e

56560014 has 48 divisors (see below), whose sum is σ = 142927200. Its totient is φ = 16158240.

The previous prime is 56559989. The next prime is 56560057. The reversal of 56560014 is 41006565.

It is a happy number.

56560014 is a `hidden beast` number, since 5 + 656 + 0 + 0 + 1 + 4 = 666.

It is a super-3 number, since 3×565600143 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56560014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1594 + ... + 10754.

It is an arithmetic number, because the mean of its divisors is an integer number (2977650).

Almost surely, 256560014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56560014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71463600).

56560014 is an abundant number, since it is smaller than the sum of its proper divisors (86367186).

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

56560014 is a wasteful number, since it uses less digits than its factorization.

56560014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9190 (or 9173 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 56560014 is about 7520.6392015573. The cubic root of 56560014 is about 383.8573281830.

Adding to 56560014 its reverse (41006565), we get a palindrome (97566579).

The spelling of 56560014 in words is "fifty-six million, five hundred sixty thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 9161 18322 27483 54966 64127 82449 128254 164898 192381 384762 448889 577143 897778 1154286 1346667 2693334 3142223 4040001 6284446 8080002 9426669 18853338 28280007 56560014