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12560144 = 241761757
BaseRepresentation
bin101111111010…
…011100010000
3212122010021112
4233322130100
511203411034
61125112452
7211521332
oct57723420
925563245
1012560144
1170a9693
124258728
1327a9c4c
14194d452
1511817ce
hexbfa710

12560144 has 40 divisors (see below), whose sum is σ = 26223768. Its totient is φ = 5806080.

The previous prime is 12560143. The next prime is 12560147. The reversal of 12560144 is 44106521.

It can be written as a sum of positive squares in 4 ways, for example, as 1081600 + 11478544 = 1040^2 + 3388^2 .

It is not an unprimeable number, because it can be changed into a prime (12560143) 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 7 ways as a sum of consecutive naturals, for example, 16214 + ... + 16970.

Almost surely, 212560144 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 12560144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13111884).

12560144 is an abundant number, since it is smaller than the sum of its proper divisors (13663624).

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

12560144 is a wasteful number, since it uses less digits than its factorization.

12560144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 12560144 is about 3544.0293452510. The cubic root of 12560144 is about 232.4510645845.

Adding to 12560144 its reverse (44106521), we get a palindrome (56666665).

The spelling of 12560144 in words is "twelve million, five hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 757 976 1037 1514 2074 3028 4148 6056 8296 12112 12869 16592 25738 46177 51476 92354 102952 184708 205904 369416 738832 785009 1570018 3140036 6280072 12560144