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12936048 = 2431783191
BaseRepresentation
bin110001010110…
…001101110000
3220100012220220
4301112031300
511302423143
61141133040
7214645266
oct61261560
926305826
1012936048
117336054
1243ba180
1328ac088
141a0a436
151207d83
hexc56370

12936048 has 80 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 3988480.

The previous prime is 12936047. The next prime is 12936071. The reversal of 12936048 is 84063921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12936041) 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 15 ways as a sum of consecutive naturals, for example, 67633 + ... + 67823.

Almost surely, 212936048 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 12936048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

12936048 is an abundant number, since it is smaller than the sum of its proper divisors (23061648).

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

12936048 is a wasteful number, since it uses less digits than its factorization.

12936048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 12936048 is about 3596.6717948681. The cubic root of 12936048 is about 234.7472641254.

Adding to 12936048 its product of nonzero digits (10368), we get a triangular number (12946416 = T5088).

Adding to 12936048 its reverse (84063921), we get a palindrome (96999969).

The spelling of 12936048 in words is "twelve million, nine hundred thirty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 83 102 136 166 191 204 249 272 332 382 408 498 573 664 764 816 996 1146 1328 1411 1528 1992 2292 2822 3056 3247 3984 4233 4584 5644 6494 8466 9168 9741 11288 12988 15853 16932 19482 22576 25976 31706 33864 38964 47559 51952 63412 67728 77928 95118 126824 155856 190236 253648 269501 380472 539002 760944 808503 1078004 1617006 2156008 3234012 4312016 6468024 12936048