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12838056 = 2337116947
BaseRepresentation
bin110000111110…
…010010101000
3220011020111120
4300332102220
511241304211
61135055240
7214056510
oct60762250
926136446
1012838056
117279470
124371520
1328765aa
1419c2840
1511d8d06
hexc3e4a8

12838056 has 64 divisors (see below), whose sum is σ = 40020480. Its totient is φ = 3334080.

The previous prime is 12838051. The next prime is 12838057. The reversal of 12838056 is 65083821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12838051) 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, 1626 + ... + 5321.

It is an arithmetic number, because the mean of its divisors is an integer number (625320).

Almost surely, 212838056 is an apocalyptic number.

It is an amenable number.

12838056 is an abundant number, since it is smaller than the sum of its proper divisors (27182424).

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

12838056 is a wasteful number, since it uses less digits than its factorization.

12838056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6974 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 12838056 is about 3583.0233044177. The cubic root of 12838056 is about 234.1530155597.

It can be divided in two parts, 1283 and 8056, that added together give a palindrome (9339).

The spelling of 12838056 in words is "twelve million, eight hundred thirty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 6947 13894 20841 27788 41682 48629 55576 76417 83364 97258 145887 152834 166728 194516 229251 291774 305668 389032 458502 534919 583548 611336 917004 1069838 1167096 1604757 1834008 2139676 3209514 4279352 6419028 12838056