Search a number
-
+
36268129 is a prime number
BaseRepresentation
bin1000101001011…
…0100001100001
32112020121112001
42022112201201
533241040004
63333204001
7620162662
oct212264141
975217461
1036268129
1119521867
1210190601
13768b041
144b61369
1532b61a4
hex2296861

36268129 has 2 divisors, whose sum is σ = 36268130. Its totient is φ = 36268128.

The previous prime is 36268121. The next prime is 36268139. The reversal of 36268129 is 92186263.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24206400 + 12061729 = 4920^2 + 3473^2 .

It is a cyclic number.

It is not a de Polignac number, because 36268129 - 23 = 36268121 is a prime.

It is not a weakly prime, because it can be changed into another prime (36268121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18134064 + 18134065.

It is an arithmetic number, because the mean of its divisors is an integer number (18134065).

Almost surely, 236268129 is an apocalyptic number.

It is an amenable number.

36268129 is a deficient number, since it is larger than the sum of its proper divisors (1).

36268129 is an equidigital number, since it uses as much as digits as its factorization.

36268129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31104, while the sum is 37.

The square root of 36268129 is about 6022.3026327145. The cubic root of 36268129 is about 331.0104595959.

The spelling of 36268129 in words is "thirty-six million, two hundred sixty-eight thousand, one hundred twenty-nine".