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96135 = 35131729
BaseRepresentation
bin10111011110000111
311212212120
4113132013
511034020
62021023
7550164
oct273607
9155776
1096135
1166256
1247773
13349b0
142706b
151d740
hex17787

96135 has 32 divisors (see below), whose sum is σ = 181440. Its totient is φ = 43008.

The previous prime is 96097. The next prime is 96137. The reversal of 96135 is 53169.

It is not a de Polignac number, because 96135 - 210 = 95111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96137) 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 31 ways as a sum of consecutive naturals, for example, 3301 + ... + 3329.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

296135 is an apocalyptic number.

96135 is a deficient number, since it is larger than the sum of its proper divisors (85305).

96135 is a wasteful number, since it uses less digits than its factorization.

96135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67.

The product of its digits is 810, while the sum is 24.

The square root of 96135 is about 310.0564464739. The cubic root of 96135 is about 45.8100230411.

It can be divided in two parts, 96 and 135, that added together give a triangular number (231 = T21).

The spelling of 96135 in words is "ninety-six thousand, one hundred thirty-five".

Divisors: 1 3 5 13 15 17 29 39 51 65 85 87 145 195 221 255 377 435 493 663 1105 1131 1479 1885 2465 3315 5655 6409 7395 19227 32045 96135