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BaseRepresentation
bin10000101000011011
310110110002
4100220123
54134443
61243215
7402416
oct205033
9113402
1068123
1147200
123350b
1325013
141ab7d
15152b8
hex10a1b

68123 has 6 divisors (see below), whose sum is σ = 75012. Its totient is φ = 61820.

The previous prime is 68113. The next prime is 68141. The reversal of 68123 is 32186.

Subtracting from 68123 its reverse (32186), we obtain a cube (35937 = 333).

It can be divided in two parts, 68 and 123, that added together give a palindrome (191).

It is not a de Polignac number, because 68123 - 26 = 68059 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 68095 and 68104.

It is not an unprimeable number, because it can be changed into a prime (68113) 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 5 ways as a sum of consecutive naturals, for example, 161 + ... + 402.

It is an arithmetic number, because the mean of its divisors is an integer number (12502).

268123 is an apocalyptic number.

68123 is a deficient number, since it is larger than the sum of its proper divisors (6889).

68123 is a wasteful number, since it uses less digits than its factorization.

68123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 574 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 68123 is about 261.0038313895. The cubic root of 68123 is about 40.8411461750.

The spelling of 68123 in words is "sixty-eight thousand, one hundred twenty-three".

Divisors: 1 11 121 563 6193 68123