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36016037 is a prime number
BaseRepresentation
bin1000100101100…
…0111110100101
32111202210201022
42021120332211
533210003122
63323540525
7615063011
oct211307645
974683638
1036016037
111936a422
121008a745
137600385
144ad7541
153266642
hex2258fa5

36016037 has 2 divisors, whose sum is σ = 36016038. Its totient is φ = 36016036.

The previous prime is 36016007. The next prime is 36016049. The reversal of 36016037 is 73061063.

36016037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21031396 + 14984641 = 4586^2 + 3871^2 .

It is a cyclic number.

It is not a de Polignac number, because 36016037 - 216 = 35950501 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36015997 and 36016015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36016007) 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 as a sum of consecutive naturals, namely, 18008018 + 18008019.

It is an arithmetic number, because the mean of its divisors is an integer number (18008019).

Almost surely, 236016037 is an apocalyptic number.

It is an amenable number.

36016037 is a deficient number, since it is larger than the sum of its proper divisors (1).

36016037 is an equidigital number, since it uses as much as digits as its factorization.

36016037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 36016037 is about 6001.3362678657. The cubic root of 36016037 is about 330.2417481730.

The spelling of 36016037 in words is "thirty-six million, sixteen thousand, thirty-seven".