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12804606 = 23223157197
BaseRepresentation
bin110000110110…
…000111111110
3220002112121200
4300312013332
511234221411
61134240330
7213560133
oct60660776
926075550
1012804606
117256321
1243560a6
1328642b9
1419b458a
1511cde56
hexc361fe

12804606 has 48 divisors (see below), whose sum is σ = 29281824. Its totient is φ = 4036032.

The previous prime is 12804599. The next prime is 12804607. The reversal of 12804606 is 60640821.

It is a self number, because there is not a number n which added to its sum of digits gives 12804606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12804607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64900 + ... + 65096.

It is an arithmetic number, because the mean of its divisors is an integer number (610038).

Almost surely, 212804606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12804606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14640912).

12804606 is an abundant number, since it is smaller than the sum of its proper divisors (16477218).

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

12804606 is a wasteful number, since it uses less digits than its factorization.

12804606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12804606 is about 3578.3524141705. The cubic root of 12804606 is about 233.9494740790.

It can be divided in two parts, 1280 and 4606, that added together give a triangular number (5886 = T108).

The spelling of 12804606 in words is "twelve million, eight hundred four thousand, six hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 138 157 197 207 314 394 414 471 591 942 1182 1413 1773 2826 3546 3611 4531 7222 9062 10833 13593 21666 27186 30929 32499 40779 61858 64998 81558 92787 185574 278361 556722 711367 1422734 2134101 4268202 6402303 12804606