Search a number
-
+
36406037 is a prime number
BaseRepresentation
bin1000101011100…
…0001100010101
32112111121200202
42022320030111
533304443122
63340150245
7621306023
oct212701425
975447622
1036406037
1119606438
1210238385
137708a45
144b99713
1532e1e92
hex22b8315

36406037 has 2 divisors, whose sum is σ = 36406038. Its totient is φ = 36406036.

The previous prime is 36406021. The next prime is 36406057. The reversal of 36406037 is 73060463.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28793956 + 7612081 = 5366^2 + 2759^2 .

It is a cyclic number.

It is not a de Polignac number, because 36406037 - 24 = 36406021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36406057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18203018 + 18203019.

It is an arithmetic number, because the mean of its divisors is an integer number (18203019).

Almost surely, 236406037 is an apocalyptic number.

It is an amenable number.

36406037 is a deficient number, since it is larger than the sum of its proper divisors (1).

36406037 is an equidigital number, since it uses as much as digits as its factorization.

36406037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 36406037 is about 6033.7415423599. The cubic root of 36406037 is about 331.4294799516.

The spelling of 36406037 in words is "thirty-six million, four hundred six thousand, thirty-seven".