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36040129 is a prime number
BaseRepresentation
bin1000100101111…
…0110111000001
32111211000202121
42021132313001
533211241004
63324244241
7615223156
oct211366701
974730677
1036040129
1119386534
12100a0681
13760b328
144b0222d
15326d854
hex225edc1

36040129 has 2 divisors, whose sum is σ = 36040130. Its totient is φ = 36040128.

The previous prime is 36040049. The next prime is 36040139. The reversal of 36040129 is 92104063.

36040129 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., 29160000 + 6880129 = 5400^2 + 2623^2 .

It is a cyclic number.

It is not a de Polignac number, because 36040129 - 27 = 36040001 is a prime.

It is equal to p2206591 and since 36040129 and 2206591 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (36040139) 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, 18020064 + 18020065.

It is an arithmetic number, because the mean of its divisors is an integer number (18020065).

Almost surely, 236040129 is an apocalyptic number.

It is an amenable number.

36040129 is a deficient number, since it is larger than the sum of its proper divisors (1).

36040129 is an equidigital number, since it uses as much as digits as its factorization.

36040129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 36040129 is about 6003.3431519446. The cubic root of 36040129 is about 330.3153673298.

The spelling of 36040129 in words is "thirty-six million, forty thousand, one hundred twenty-nine".