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86870385 = 3257239397
BaseRepresentation
bin1010010110110…
…00100101110001
320001110110202200
411023120211301
5134214323020
612341533413
72103246300
oct513304561
9201413680
1086870385
1145044008
1225114269
1314cc75c4
14b774437
15795e590
hex52d8971

86870385 has 36 divisors (see below), whose sum is σ = 175163508. Its totient is φ = 39711168.

The previous prime is 86870383. The next prime is 86870389. The reversal of 86870385 is 58307868.

It can be written as a sum of positive squares in 2 ways, for example, as 47444544 + 39425841 = 6888^2 + 6279^2 .

It is not a de Polignac number, because 86870385 - 21 = 86870383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 86870385.

It is not an unprimeable number, because it can be changed into a prime (86870383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17494 + ... + 21903.

It is an arithmetic number, because the mean of its divisors is an integer number (4865653).

Almost surely, 286870385 is an apocalyptic number.

It is an amenable number.

86870385 is an abundant number, since it is smaller than the sum of its proper divisors (88293123).

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

86870385 is a wasteful number, since it uses less digits than its factorization.

86870385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39422 (or 39412 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 86870385 is about 9320.4283699839. The cubic root of 86870385 is about 442.8846029006.

It can be divided in two parts, 868 and 70385, that added together give a triangular number (71253 = T377).

The spelling of 86870385 in words is "eighty-six million, eight hundred seventy thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 39397 118191 196985 275779 354573 590955 827337 1378895 1772865 1930453 2482011 4136685 5791359 9652265 12410055 17374077 28956795 86870385