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36168041 = 7133112821
BaseRepresentation
bin1000100111111…
…0000101101001
32112001112020002
42021332011221
533224334131
63331112345
7616265120
oct211760551
975045202
1036168041
1119463648
12101426b5
137654610
144b36ab7
1532966cb
hex227e169

36168041 has 16 divisors (see below), whose sum is σ = 45954048. Its totient is φ = 27691200.

The previous prime is 36168037. The next prime is 36168043. The reversal of 36168041 is 14086163.

36168041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 36168041 - 22 = 36168037 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 36167995 and 36168013.

It is not an unprimeable number, because it can be changed into a prime (36168043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3590 + ... + 9231.

It is an arithmetic number, because the mean of its divisors is an integer number (2872128).

Almost surely, 236168041 is an apocalyptic number.

36168041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

36168041 is a deficient number, since it is larger than the sum of its proper divisors (9786007).

36168041 is a wasteful number, since it uses less digits than its factorization.

36168041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12872.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 36168041 is about 6013.9871133883. The cubic root of 36168041 is about 330.7056860596.

The spelling of 36168041 in words is "thirty-six million, one hundred sixty-eight thousand, forty-one".

Divisors: 1 7 13 31 91 217 403 2821 12821 89747 166673 397451 1166711 2782157 5166863 36168041