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56730105 = 33517191301
BaseRepresentation
bin1101100001101…
…0000111111001
310221202012002000
43120122013321
5104010330410
65343531213
71256124615
oct330320771
9127665060
1056730105
112a028193
1216bb9b09
13b9a3813
14776a345
154ea8dc0
hex361a1f9

56730105 has 64 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 26956800.

The previous prime is 56730103. The next prime is 56730133. The reversal of 56730105 is 50103765.

It is not a de Polignac number, because 56730105 - 21 = 56730103 is a prime.

It is a super-2 number, since 2×567301052 = 6436609626622050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56730103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42955 + ... + 44255.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 256730105 is an apocalyptic number.

It is an amenable number.

56730105 is a deficient number, since it is larger than the sum of its proper divisors (55762695).

56730105 is a wasteful number, since it uses less digits than its factorization.

56730105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 56730105 is about 7531.9389933801. The cubic root of 56730105 is about 384.2417301218.

The spelling of 56730105 in words is "fifty-six million, seven hundred thirty thousand, one hundred five".

Divisors: 1 3 5 9 15 17 19 27 45 51 57 85 95 135 153 171 255 285 323 459 513 765 855 969 1301 1615 2295 2565 2907 3903 4845 6505 8721 11709 14535 19515 22117 24719 35127 43605 58545 66351 74157 110585 123595 175635 199053 222471 331755 370785 420223 597159 667413 995265 1112355 1260669 2101115 2985795 3337065 3782007 6303345 11346021 18910035 56730105