Search a number
-
+
36736157 is a prime number
BaseRepresentation
bin1000110000100…
…0110010011101
32120010101112102
42030020302131
533401024112
63351214445
7624152333
oct214106235
976111472
1036736157
1119811467
1210377425
1377c3093
144c43b53
153359bc2
hex2308c9d

36736157 has 2 divisors, whose sum is σ = 36736158. Its totient is φ = 36736156.

The previous prime is 36736067. The next prime is 36736163. The reversal of 36736157 is 75163763.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24019801 + 12716356 = 4901^2 + 3566^2 .

It is a cyclic number.

It is not a de Polignac number, because 36736157 - 28 = 36735901 is a prime.

It is a super-2 number, since 2×367361572 = 2699090462257298, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36736157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36733157) 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, 18368078 + 18368079.

It is an arithmetic number, because the mean of its divisors is an integer number (18368079).

Almost surely, 236736157 is an apocalyptic number.

It is an amenable number.

36736157 is a deficient number, since it is larger than the sum of its proper divisors (1).

36736157 is an equidigital number, since it uses as much as digits as its factorization.

36736157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 79380, while the sum is 38.

The square root of 36736157 is about 6061.0359675554. The cubic root of 36736157 is about 332.4282378531.

The spelling of 36736157 in words is "thirty-six million, seven hundred thirty-six thousand, one hundred fifty-seven".