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12512742 = 2311434409
BaseRepresentation
bin101111101110…
…110111100110
3212112201020220
4233232313212
511200401432
61124105210
7211233204
oct57566746
925481226
1012512742
117077010
124235206
1327914b8
14193a074
15117272c
hexbeede6

12512742 has 32 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 3702720.

The previous prime is 12512737. The next prime is 12512761. The reversal of 12512742 is 24721521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634 + ... + 5042.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 212512742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12512742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

12512742 is an abundant number, since it is smaller than the sum of its proper divisors (15429018).

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

12512742 is a wasteful number, since it uses less digits than its factorization.

12512742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468.

The product of its digits is 1120, while the sum is 24.

The square root of 12512742 is about 3537.3354378685. The cubic root of 12512742 is about 232.1582724010.

It can be divided in two parts, 1251 and 2742, that added together give a palindrome (3993).

The spelling of 12512742 in words is "twelve million, five hundred twelve thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2838 4409 8818 13227 26454 48499 96998 145497 189587 290994 379174 568761 1137522 2085457 4170914 6256371 12512742