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36760013 is a prime number
BaseRepresentation
bin1000110000111…
…0100111001101
32120011121020222
42030032213031
533402310023
63351521125
7624312023
oct214164715
976147228
1036760013
1119828384
12103891a5
137800bb4
144c4c713
153361cc8
hex230e9cd

36760013 has 2 divisors, whose sum is σ = 36760014. Its totient is φ = 36760012.

The previous prime is 36760007. The next prime is 36760021. The reversal of 36760013 is 31006763.

36760013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20097289 + 16662724 = 4483^2 + 4082^2 .

It is an emirp because it is prime and its reverse (31006763) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36760013 - 26 = 36759949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36762013) 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, 18380006 + 18380007.

It is an arithmetic number, because the mean of its divisors is an integer number (18380007).

Almost surely, 236760013 is an apocalyptic number.

It is an amenable number.

36760013 is a deficient number, since it is larger than the sum of its proper divisors (1).

36760013 is an equidigital number, since it uses as much as digits as its factorization.

36760013 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 36760013 is about 6063.0036285656. The cubic root of 36760013 is about 332.5001805264.

Adding to 36760013 its reverse (31006763), we get a palindrome (67766776).

The spelling of 36760013 in words is "thirty-six million, seven hundred sixty thousand, thirteen".