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95368 = 23713131
BaseRepresentation
bin10111010010001000
311211211011
4113102020
511022433
62013304
7545020
oct272210
9154734
1095368
1165719
1247234
1334540
1426a80
151d3cd
hex17488

95368 has 32 divisors (see below), whose sum is σ = 221760. Its totient is φ = 37440.

The previous prime is 95339. The next prime is 95369. The reversal of 95368 is 86359.

Subtracting from 95368 its product of digits (6480), we obtain a palindrome (88888).

Subtracting from 95368 its reverse (86359), we obtain a palindrome (9009).

It is a cake number, because a cake can be divided into 95368 parts by 83 planar cuts.

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

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, 663 + ... + 793.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

295368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110880).

95368 is an abundant number, since it is smaller than the sum of its proper divisors (126392).

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

95368 is a wasteful number, since it uses less digits than its factorization.

95368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 95368 is about 308.8170979722. The cubic root of 95368 is about 45.6878679209.

The spelling of 95368 in words is "ninety-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 131 182 262 364 524 728 917 1048 1703 1834 3406 3668 6812 7336 11921 13624 23842 47684 95368