Search a number
-
+
10362089 is a prime number
BaseRepresentation
bin100111100001…
…110011101001
3201111110010002
4213201303221
510123041324
61010032345
7154035113
oct47416351
921443102
1010362089
115938211
1235786b5
1321ba61a
14153a3b3
15d9a3ae
hex9e1ce9

10362089 has 2 divisors, whose sum is σ = 10362090. Its totient is φ = 10362088.

The previous prime is 10362071. The next prime is 10362113. The reversal of 10362089 is 98026301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7246864 + 3115225 = 2692^2 + 1765^2 .

It is a cyclic number.

It is not a de Polignac number, because 10362089 - 28 = 10361833 is a prime.

It is a super-3 number, since 3×103620893 (a number of 22 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10361089) 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, 5181044 + 5181045.

It is an arithmetic number, because the mean of its divisors is an integer number (5181045).

Almost surely, 210362089 is an apocalyptic number.

It is an amenable number.

10362089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10362089 is an equidigital number, since it uses as much as digits as its factorization.

10362089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 10362089 is about 3219.0198818895. The cubic root of 10362089 is about 218.0130242198.

It can be divided in two parts, 1036 and 2089, that added together give a 5-th power (3125 = 55).

The spelling of 10362089 in words is "ten million, three hundred sixty-two thousand, eighty-nine".