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12896744 = 23717192331
BaseRepresentation
bin110001001100…
…100111101000
3220021020000012
4301030213220
511300143434
61140231052
7214422560
oct61144750
926236005
1012896744
117309573
12439b488
132897213
1419d9da0
1511eb3ce
hexc4c9e8

12896744 has 128 divisors (see below), whose sum is σ = 33177600. Its totient is φ = 4561920.

The previous prime is 12896743. The next prime is 12896749. The reversal of 12896744 is 44769821.

It is not an unprimeable number, because it can be changed into a prime (12896743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416009 + ... + 416039.

It is an arithmetic number, because the mean of its divisors is an integer number (259200).

Almost surely, 212896744 is an apocalyptic number.

12896744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12896744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588800).

12896744 is an abundant number, since it is smaller than the sum of its proper divisors (20280856).

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

12896744 is a wasteful number, since it uses less digits than its factorization.

12896744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 12896744 is about 3591.2036979264. The cubic root of 12896744 is about 234.5092762775.

The spelling of 12896744 in words is "twelve million, eight hundred ninety-six thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 17 19 23 28 31 34 38 46 56 62 68 76 92 119 124 133 136 152 161 184 217 238 248 266 322 323 391 434 437 476 527 532 589 644 646 713 782 868 874 952 1054 1064 1178 1288 1292 1426 1564 1736 1748 2108 2261 2356 2584 2737 2852 3059 3128 3496 3689 4123 4216 4522 4712 4991 5474 5704 6118 7378 7429 8246 9044 9982 10013 10948 12121 12236 13547 14756 14858 16492 18088 19964 20026 21896 24242 24472 27094 29512 29716 32984 39928 40052 48484 52003 54188 59432 70091 80104 84847 94829 96968 104006 108376 140182 169694 189658 208012 230299 280364 339388 379316 416024 460598 560728 678776 758632 921196 1612093 1842392 3224186 6448372 12896744