Search a number
-
+
68094 = 2331397
BaseRepresentation
bin10000100111111110
310110102000
4100213332
54134334
61243130
7402345
oct204776
9113360
1068094
1147184
12334a6
1324cc0
141ab5c
1515299
hex109fe

68094 has 32 divisors (see below), whose sum is σ = 164640. Its totient is φ = 20736.

The previous prime is 68087. The next prime is 68099. The reversal of 68094 is 49086.

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

It is a Curzon number.

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 68094.

It is not an unprimeable number, because it can be changed into a prime (68099) by changing a digit.

68094 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (5145).

268094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82320).

68094 is an abundant number, since it is smaller than the sum of its proper divisors (96546).

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

68094 is a wasteful number, since it uses less digits than its factorization.

68094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 68094 is about 260.9482707358. The cubic root of 68094 is about 40.8353499860.

Adding to 68094 its sum of digits (27), we get a square (68121 = 2612).

Subtracting from 68094 its product of nonzero digits (1728), we obtain a palindrome (66366).

It can be divided in two parts, 6 and 8094, that added together give a square (8100 = 902).

The spelling of 68094 in words is "sixty-eight thousand, ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 97 117 194 234 291 351 582 702 873 1261 1746 2522 2619 3783 5238 7566 11349 22698 34047 68094