Search a number
-
+
906236641 is a prime number
BaseRepresentation
bin110110000001000…
…001001011100001
32100011020120222001
4312001001023201
53323444033031
6225531444001
731312612222
oct6601011341
92304216861
10906236641
11425602002
122135b6601
1311599b2cb
1488501249
155485e861
hex360412e1

906236641 has 2 divisors, whose sum is σ = 906236642. Its totient is φ = 906236640.

The previous prime is 906236587. The next prime is 906236659. The reversal of 906236641 is 146632609.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 852873616 + 53363025 = 29204^2 + 7305^2 .

It is a cyclic number.

It is not a de Polignac number, because 906236641 - 29 = 906236129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 906236641.

It is not a weakly prime, because it can be changed into another prime (906233641) 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, 453118320 + 453118321.

It is an arithmetic number, because the mean of its divisors is an integer number (453118321).

Almost surely, 2906236641 is an apocalyptic number.

It is an amenable number.

906236641 is a deficient number, since it is larger than the sum of its proper divisors (1).

906236641 is an equidigital number, since it uses as much as digits as its factorization.

906236641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 906236641 is about 30103.7645652500. The cubic root of 906236641 is about 967.7144050953.

The spelling of 906236641 in words is "nine hundred six million, two hundred thirty-six thousand, six hundred forty-one".