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67026 = 2311171
BaseRepresentation
bin10000010111010010
310101221110
4100113102
54121101
61234150
7366261
oct202722
9111843
1067026
11463a3
1232956
132467b
141a5d8
1514cd6
hex105d2

67026 has 8 divisors (see below), whose sum is σ = 134064. Its totient is φ = 22340.

The previous prime is 67021. The next prime is 67033. The reversal of 67026 is 62076.

It is a sphenic number, since it is the product of 3 distinct primes.

67026 is an admirable number.

It is a super-3 number, since 3×670263 = 903339833680728, which contains 333 as substring.

It is a Curzon number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 66993 and 67011.

It is not an unprimeable number, because it can be changed into a prime (67021) 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 3 ways as a sum of consecutive naturals, for example, 5580 + ... + 5591.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

267026 is an apocalyptic number.

67026 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (67032).

67026 is a wasteful number, since it uses less digits than its factorization.

67026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11176.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 67026 is about 258.8938006210. The cubic root of 67026 is about 40.6207340688.

Subtracting from 67026 its reverse (62076), we obtain a triangular number (4950 = T99).

It can be divided in two parts, 670 and 26, that added together give a palindrome (696).

The spelling of 67026 in words is "sixty-seven thousand, twenty-six".

Divisors: 1 2 3 6 11171 22342 33513 67026