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95868 = 22322663
BaseRepresentation
bin10111011001111100
311212111200
4113121330
511031433
62015500
7546333
oct273174
9155450
1095868
1166033
1247590
1334836
1426d1a
151d613
hex1767c

95868 has 18 divisors (see below), whose sum is σ = 242424. Its totient is φ = 31944.

The previous prime is 95857. The next prime is 95869. The reversal of 95868 is 86859.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2663 = 95868 / (9 + 5 + 8 + 6 + 8).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 95868.

It is not an unprimeable number, because it can be changed into a prime (95869) 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 5 ways as a sum of consecutive naturals, for example, 1296 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (13468).

295868 is an apocalyptic number.

It is an amenable number.

95868 is an abundant number, since it is smaller than the sum of its proper divisors (146556).

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

95868 is a wasteful number, since it uses less digits than its factorization.

95868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2668 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 95868 is about 309.6255803386. The cubic root of 95868 is about 45.7675736482.

Subtracting from 95868 its reverse (86859), we obtain a palindrome (9009).

The spelling of 95868 in words is "ninety-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2663 5326 7989 10652 15978 23967 31956 47934 95868