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95364 = 2233883
BaseRepresentation
bin10111010010000100
311211211000
4113102010
511022424
62013300
7545013
oct272204
9154730
1095364
1165715
1247230
1334539
1426a7a
151d3c9
hex17484

95364 has 24 divisors (see below), whose sum is σ = 247520. Its totient is φ = 31752.

The previous prime is 95339. The next prime is 95369. The reversal of 95364 is 46359.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 95364.

It is not an unprimeable number, because it can be changed into a prime (95369) by changing a digit.

95364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334 + ... + 549.

295364 is an apocalyptic number.

It is an amenable number.

95364 is an abundant number, since it is smaller than the sum of its proper divisors (152156).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123760).

95364 is a wasteful number, since it uses less digits than its factorization.

95364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 888 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 95364 is about 308.8106215790. The cubic root of 95364 is about 45.6872291531.

The spelling of 95364 in words is "ninety-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 883 1766 2649 3532 5298 7947 10596 15894 23841 31788 47682 95364