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42067 = 233159
BaseRepresentation
bin1010010001010011
32010201001
422101103
52321232
6522431
7233434
oct122123
963631
1042067
1129673
1220417
13161bc
141148b
15c6e7
hexa453

42067 has 8 divisors (see below), whose sum is σ = 46080. Its totient is φ = 38280.

The previous prime is 42061. The next prime is 42071. The reversal of 42067 is 76024.

42067 is nontrivially palindromic in base 5.

42067 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42067 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (42061) 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, 684 + ... + 742.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

242067 is an apocalyptic number.

42067 is a deficient number, since it is larger than the sum of its proper divisors (4013).

42067 is a wasteful number, since it uses less digits than its factorization.

42067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113.

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 42067 is about 205.1024134427. The cubic root of 42067 is about 34.7787402627.

The spelling of 42067 in words is "forty-two thousand, sixty-seven".

Divisors: 1 23 31 59 713 1357 1829 42067