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12807306 = 232711517
BaseRepresentation
bin110000110110…
…110010001010
3220002200022200
4300312302022
511234313211
61134301030
7213601041
oct60666212
926080280
1012807306
117258356
124357776
1328655b5
1419b5558
1511ceb56
hexc36c8a

12807306 has 12 divisors (see below), whose sum is σ = 27749202. Its totient is φ = 4269096.

The previous prime is 12807233. The next prime is 12807317. The reversal of 12807306 is 60370821.

It can be written as a sum of positive squares in only one way, i.e., 8946081 + 3861225 = 2991^2 + 1965^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 12807306.

It is an unprimeable number.

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 in 5 ways as a sum of consecutive naturals, for example, 355741 + ... + 355776.

Almost surely, 212807306 is an apocalyptic number.

12807306 is an abundant number, since it is smaller than the sum of its proper divisors (14941896).

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

12807306 is a wasteful number, since it uses less digits than its factorization.

12807306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711525 (or 711522 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12807306 is about 3578.7296628832. The cubic root of 12807306 is about 233.9659165786.

The spelling of 12807306 in words is "twelve million, eight hundred seven thousand, three hundred six".

Divisors: 1 2 3 6 9 18 711517 1423034 2134551 4269102 6403653 12807306