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36240037 is a prime number
BaseRepresentation
bin1000101000111…
…1101010100101
32112012011222121
42022033222211
533234140122
63332425541
7620015041
oct212175245
975164877
1036240037
1119502749
12101782b1
13767b312
144b55021
1532acbc7
hex228faa5

36240037 has 2 divisors, whose sum is σ = 36240038. Its totient is φ = 36240036.

The previous prime is 36240031. The next prime is 36240059. The reversal of 36240037 is 73004263.

36240037 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., 24910081 + 11329956 = 4991^2 + 3366^2 .

It is an emirp because it is prime and its reverse (73004263) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36240037 - 211 = 36237989 is a prime.

It is a super-2 number, since 2×362400372 = 2626680563522738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36239993 and 36240020.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36240031) 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, 18120018 + 18120019.

It is an arithmetic number, because the mean of its divisors is an integer number (18120019).

Almost surely, 236240037 is an apocalyptic number.

It is an amenable number.

36240037 is a deficient number, since it is larger than the sum of its proper divisors (1).

36240037 is an equidigital number, since it uses as much as digits as its factorization.

36240037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 36240037 is about 6019.9698504228. The cubic root of 36240037 is about 330.9249745530.

The spelling of 36240037 in words is "thirty-six million, two hundred forty thousand, thirty-seven".