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12823943 = 112105983
BaseRepresentation
bin110000111010…
…110110000111
3220010112010212
4300322312013
511240331233
61134510035
7214000406
oct60726607
926115125
1012823943
117269900
12436531b
132870042
1419bb63d
1511d4a48
hexc3ad87

12823943 has 6 divisors (see below), whose sum is σ = 14095872. Its totient is φ = 11658020.

The previous prime is 12823927. The next prime is 12823961. The reversal of 12823943 is 34932821.

It is a happy number.

12823943 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12823943 - 24 = 12823927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12823913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52871 + ... + 53112.

It is an arithmetic number, because the mean of its divisors is an integer number (2349312).

Almost surely, 212823943 is an apocalyptic number.

12823943 is a deficient number, since it is larger than the sum of its proper divisors (1271929).

12823943 is a wasteful number, since it uses less digits than its factorization.

12823943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106005 (or 105994 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 12823943 is about 3581.0533366595. The cubic root of 12823943 is about 234.0671818692.

It can be divided in two parts, 1282 and 3943, that added together give a palindrome (5225).

The spelling of 12823943 in words is "twelve million, eight hundred twenty-three thousand, nine hundred forty-three".

Divisors: 1 11 121 105983 1165813 12823943