Search a number
-
+
505460106 = 23228081117
BaseRepresentation
bin11110001000001…
…011010110001010
31022020010000220200
4132020023112022
52013344210411
6122053433030
715345224424
oct3610132612
91266100820
10505460106
1123a356728
1212133b776
1380947428
144b1b7814
152e595e56
hex1e20b58a

505460106 has 12 divisors (see below), whose sum is σ = 1095163602. Its totient is φ = 168486696.

The previous prime is 505460093. The next prime is 505460107. The reversal of 505460106 is 601064505.

It is a happy number.

505460106 is a `hidden beast` number, since 5 + 0 + 54 + 601 + 0 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 280730025 + 224730081 = 16755^2 + 14991^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 505460106.

It is not an unprimeable number, because it can be changed into a prime (505460107) 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 in 5 ways as a sum of consecutive naturals, for example, 14040541 + ... + 14040576.

Almost surely, 2505460106 is an apocalyptic number.

505460106 is an abundant number, since it is smaller than the sum of its proper divisors (589703496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505460106 is a wasteful number, since it uses less digits than its factorization.

505460106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28081125 (or 28081122 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 505460106 is about 22482.4399476569. The cubic root of 505460106 is about 796.5791987053.

The spelling of 505460106 in words is "five hundred five million, four hundred sixty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 28081117 56162234 84243351 168486702 252730053 505460106