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12580506 = 232897853
BaseRepresentation
bin101111111111…
…011010011010
3212200011012200
4233333122122
511210034011
61125351030
7211634601
oct57773232
925604180
1012580506
117112a14
124268476
1327b62b3
141956a38
151187856
hexbff69a

12580506 has 24 divisors (see below), whose sum is σ = 27567540. Its totient is φ = 4145856.

The previous prime is 12580499. The next prime is 12580507. The reversal of 12580506 is 60508521.

It can be written as a sum of positive squares in 2 ways, for example, as 9828225 + 2752281 = 3135^2 + 1659^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12580506.

It is not an unprimeable number, because it can be changed into a prime (12580507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2325 + ... + 5528.

Almost surely, 212580506 is an apocalyptic number.

12580506 is an abundant number, since it is smaller than the sum of its proper divisors (14987034).

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

12580506 is a wasteful number, since it uses less digits than its factorization.

12580506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7950 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 12580506 is about 3546.9009007865. The cubic root of 12580506 is about 232.5766102029.

The spelling of 12580506 in words is "twelve million, five hundred eighty thousand, five hundred six".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 7853 15706 23559 47118 70677 141354 698917 1397834 2096751 4193502 6290253 12580506