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12782084 = 227456503
BaseRepresentation
bin110000110000…
…101000000100
3220001101201112
4300300220010
511233011314
61133544152
7213434360
oct60605004
926041645
1012782084
117240407
124345058
132856c83
1419aa2a0
1511c743e
hexc30a04

12782084 has 12 divisors (see below), whose sum is σ = 25564224. Its totient is φ = 5478024.

The previous prime is 12782071. The next prime is 12782087. The reversal of 12782084 is 48028721.

12782084 is an admirable number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12782084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12782087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 228224 + ... + 228279.

It is an arithmetic number, because the mean of its divisors is an integer number (2130352).

Almost surely, 212782084 is an apocalyptic number.

12782084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12782084 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

12782084 is a wasteful number, since it uses less digits than its factorization.

12782084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456514 (or 456512 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 12782084 is about 3575.2040501208. The cubic root of 12782084 is about 233.8122291352.

The spelling of 12782084 in words is "twelve million, seven hundred eighty-two thousand, eighty-four".

Divisors: 1 2 4 7 14 28 456503 913006 1826012 3195521 6391042 12782084