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86074065 = 32571124841
BaseRepresentation
bin1010010000101…
…10001011010001
312222222000102100
411020112023101
5134013332230
612312511013
72063421540
oct510261321
9188860370
1086074065
114464a7a0
12249ab469
1314aa8ccc
14b608157
157853660
hex52162d1

86074065 has 48 divisors (see below), whose sum is σ = 186016896. Its totient is φ = 35769600.

The previous prime is 86074063. The next prime is 86074069. The reversal of 86074065 is 56047068.

It is a happy number.

86074065 is a `hidden beast` number, since 8 + 607 + 40 + 6 + 5 = 666.

It is not a de Polignac number, because 86074065 - 21 = 86074063 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (86074063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8956 + ... + 15885.

It is an arithmetic number, because the mean of its divisors is an integer number (3875352).

Almost surely, 286074065 is an apocalyptic number.

It is an amenable number.

86074065 is an abundant number, since it is smaller than the sum of its proper divisors (99942831).

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

86074065 is a wasteful number, since it uses less digits than its factorization.

86074065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24870 (or 24867 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 86074065 is about 9277.6109532573. The cubic root of 86074065 is about 441.5271743339.

The spelling of 86074065 in words is "eighty-six million, seventy-four thousand, sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 24841 74523 124205 173887 223569 273251 372615 521661 819753 869435 1117845 1366255 1564983 1912757 2459259 2608305 4098765 5738271 7824915 9563785 12296295 17214813 28691355 86074065