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65683305 = 3451571033
BaseRepresentation
bin1111101010001…
…1111101101001
311120121001120000
43322203331221
5113303331210
610303453213
71425204342
oct372437551
9146531500
1065683305
1134092926
1219bb7209
13107b9a7c
148a1b0c9
155b76ac0
hex3ea3f69

65683305 has 40 divisors (see below), whose sum is σ = 118608072. Its totient is φ = 34774272.

The previous prime is 65683297. The next prime is 65683349. The reversal of 65683305 is 50338656.

It can be written as a sum of positive squares in 4 ways, for example, as 15896169 + 49787136 = 3987^2 + 7056^2 .

It is not a de Polignac number, because 65683305 - 23 = 65683297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 65683305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63069 + ... + 64101.

Almost surely, 265683305 is an apocalyptic number.

It is an amenable number.

65683305 is a deficient number, since it is larger than the sum of its proper divisors (52924767).

65683305 is a wasteful number, since it uses less digits than its factorization.

65683305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 65683305 is about 8104.5237367781. The cubic root of 65683305 is about 403.4765813304.

The spelling of 65683305 in words is "sixty-five million, six hundred eighty-three thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 157 405 471 785 1033 1413 2355 3099 4239 5165 7065 9297 12717 15495 21195 27891 46485 63585 83673 139455 162181 418365 486543 810905 1459629 2432715 4378887 7298145 13136661 21894435 65683305