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96066405 = 355174651
BaseRepresentation
bin1011011100111…
…01101101100101
320200202200100000
411232131231211
5144043111110
613311011513
72244356661
oct556355545
9220680300
1096066405
114a255126
1228209b99
1316b97236
14ca898a1
1586791c0
hex5b9db65

96066405 has 48 divisors (see below), whose sum is σ = 182879424. Its totient is φ = 48211200.

The previous prime is 96066391. The next prime is 96066431. The reversal of 96066405 is 50466069.

It is a happy number.

96066405 is a `hidden beast` number, since 9 + 6 + 0 + 6 + 640 + 5 = 666.

It is not a de Polignac number, because 96066405 - 24 = 96066389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 96066405.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 18330 + ... + 22980.

It is an arithmetic number, because the mean of its divisors is an integer number (3809988).

Almost surely, 296066405 is an apocalyptic number.

It is an amenable number.

96066405 is a deficient number, since it is larger than the sum of its proper divisors (86813019).

96066405 is a wasteful number, since it uses less digits than its factorization.

96066405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 96066405 is about 9801.3471012917. The cubic root of 96066405 is about 457.9912487284.

The spelling of 96066405 in words is "ninety-six million, sixty-six thousand, four hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 243 255 405 459 765 1215 1377 2295 4131 4651 6885 13953 20655 23255 41859 69765 79067 125577 209295 237201 376731 395335 627885 711603 1130193 1186005 1883655 2134809 3558015 5650965 6404427 10674045 19213281 32022135 96066405