Search a number
-
+
12788804 = 227271919
BaseRepresentation
bin110000110010…
…010001000100
3220001201221102
4300302101010
511233220204
61134035232
7213463100
oct60622104
926051842
1012788804
117245466
124348b18
13285a052
1419ac900
1511c941e
hexc32444

12788804 has 36 divisors (see below), whose sum is σ = 26429760. Its totient is φ = 5397840.

The previous prime is 12788801. The next prime is 12788857. The reversal of 12788804 is 40888721.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12788801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13457 + ... + 14375.

It is an arithmetic number, because the mean of its divisors is an integer number (734160).

Almost surely, 212788804 is an apocalyptic number.

12788804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12788804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13214880).

12788804 is an abundant number, since it is smaller than the sum of its proper divisors (13640956).

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

12788804 is a wasteful number, since it uses less digits than its factorization.

12788804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The square root of 12788804 is about 3576.1437331293. The cubic root of 12788804 is about 233.8531964483.

The spelling of 12788804 in words is "twelve million, seven hundred eighty-eight thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 284 497 919 994 1838 1988 3479 3676 6433 6958 12866 13916 25732 45031 65249 90062 130498 180124 260996 456743 913486 1826972 3197201 6394402 12788804