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12439768 = 2311271181
BaseRepresentation
bin101111011101…
…000011011000
3212102000011011
4233131003120
511141033033
61122343304
7210510355
oct57350330
925360134
1012439768
117027200
1241bab34
132767213
14191b62c
15115accd
hexbdd0d8

12439768 has 48 divisors (see below), whose sum is σ = 26142480. Its totient is φ = 5544000.

The previous prime is 12439751. The next prime is 12439783. The reversal of 12439768 is 86793421.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 12439768.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 68638 + ... + 68818.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 212439768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12439768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071240).

12439768 is an abundant number, since it is smaller than the sum of its proper divisors (13702712).

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

12439768 is a wasteful number, since it uses less digits than its factorization.

12439768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 265 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 12439768 is about 3527.0055287737. The cubic root of 12439768 is about 231.7060784411.

It can be divided in two parts, 1243 and 9768, that added together give a palindrome (11011).

The spelling of 12439768 in words is "twelve million, four hundred thirty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 71 88 121 142 181 242 284 362 484 568 724 781 968 1448 1562 1991 3124 3982 6248 7964 8591 12851 15928 17182 21901 25702 34364 43802 51404 68728 87604 102808 141361 175208 282722 565444 1130888 1554971 3109942 6219884 12439768