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67041 = 3313191
BaseRepresentation
bin10000010111100001
310101222000
4100113201
54121131
61234213
7366312
oct202741
9111860
1067041
1146407
1232969
1324690
141a609
1514ce6
hex105e1

67041 has 16 divisors (see below), whose sum is σ = 107520. Its totient is φ = 41040.

The previous prime is 67033. The next prime is 67043. The reversal of 67041 is 14076.

It is not a de Polignac number, because 67041 - 23 = 67033 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 67041.

It is not an unprimeable number, because it can be changed into a prime (67043) 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 15 ways as a sum of consecutive naturals, for example, 256 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

267041 is an apocalyptic number.

It is an amenable number.

67041 is a deficient number, since it is larger than the sum of its proper divisors (40479).

67041 is a wasteful number, since it uses less digits than its factorization.

67041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 67041 is about 258.9227684079. The cubic root of 67041 is about 40.6237640650.

The spelling of 67041 in words is "sixty-seven thousand, forty-one".

Divisors: 1 3 9 13 27 39 117 191 351 573 1719 2483 5157 7449 22347 67041