Search a number
-
+
36036001 is a prime number
BaseRepresentation
bin1000100101110…
…1110110100001
32111210211002201
42021131312201
533211123001
63324213201
7615205141
oct211356641
974724081
1036036001
1119383421
121009a201
1376094a1
144b00921
15326c501
hex225dda1

36036001 has 2 divisors, whose sum is σ = 36036002. Its totient is φ = 36036000.

The previous prime is 36035983. The next prime is 36036029. The reversal of 36036001 is 10063063.

It is a happy number.

36036001 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., 33918976 + 2117025 = 5824^2 + 1455^2 .

It is an emirp because it is prime and its reverse (10063063) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36036001 - 25 = 36035969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36036001.

It is not a weakly prime, because it can be changed into another prime (36036041) 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, 18018000 + 18018001.

It is an arithmetic number, because the mean of its divisors is an integer number (18018001).

Almost surely, 236036001 is an apocalyptic number.

It is an amenable number.

36036001 is a deficient number, since it is larger than the sum of its proper divisors (1).

36036001 is an equidigital number, since it uses as much as digits as its factorization.

36036001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 36036001 is about 6002.9993336665. Note that the first 3 decimals coincide. The cubic root of 36036001 is about 330.3027555187.

Adding to 36036001 its reverse (10063063), we get a palindrome (46099064).

It can be divided in two parts, 3603 and 6001, that added together give a square (9604 = 982).

The spelling of 36036001 in words is "thirty-six million, thirty-six thousand, one".