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36600161 = 132216569
BaseRepresentation
bin1000101110011…
…1100101100001
32112212110222112
42023213211201
533332201121
63344245105
7623045003
oct213474541
975773875
1036600161
1119729274
1210310795
137776200
144c0a373
15332e75b
hex22e7961

36600161 has 6 divisors (see below), whose sum is σ = 39632310. Its totient is φ = 33784608.

The previous prime is 36600149. The next prime is 36600163. The reversal of 36600161 is 16100663.

36600161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 70225 + 36529936 = 265^2 + 6044^2 .

It is not a de Polignac number, because 36600161 - 210 = 36599137 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (36600163) 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 5 ways as a sum of consecutive naturals, for example, 108116 + ... + 108453.

It is an arithmetic number, because the mean of its divisors is an integer number (6605385).

Almost surely, 236600161 is an apocalyptic number.

It is an amenable number.

36600161 is a deficient number, since it is larger than the sum of its proper divisors (3032149).

36600161 is a wasteful number, since it uses less digits than its factorization.

36600161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216595 (or 216582 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 36600161 is about 6049.8066911266. The cubic root of 36600161 is about 332.0175179463.

The spelling of 36600161 in words is "thirty-six million, six hundred thousand, one hundred sixty-one".

Divisors: 1 13 169 216569 2815397 36600161