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12848682 = 23721129137
BaseRepresentation
bin110001000000…
…111000101010
3220011210002010
4301000320222
511242124212
61135220350
7214132500
oct61007052
926153063
1012848682
117286450
1243776b6
13287b392
1419c6670
1511dc03c
hexc40e2a

12848682 has 96 divisors (see below), whose sum is σ = 33981120. Its totient is φ = 3198720.

The previous prime is 12848681. The next prime is 12848683. The reversal of 12848682 is 28684821.

It is an interprime number because it is at equal distance from previous prime (12848681) and next prime (12848683).

It is a self number, because there is not a number n which added to its sum of digits gives 12848682.

It is not an unprimeable number, because it can be changed into a prime (12848681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93718 + ... + 93854.

It is an arithmetic number, because the mean of its divisors is an integer number (353970).

Almost surely, 212848682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12848682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16990560).

12848682 is an abundant number, since it is smaller than the sum of its proper divisors (21132438).

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

12848682 is a wasteful number, since it uses less digits than its factorization.

12848682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 189 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 12848682 is about 3584.5058236806. The cubic root of 12848682 is about 234.2176002027.

It can be divided in two parts, 12848 and 682, that added together give a triangular number (13530 = T164).

The spelling of 12848682 in words is "twelve million, eight hundred forty-eight thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 49 58 66 77 87 98 137 147 154 174 203 231 274 294 319 406 411 462 539 609 638 822 957 959 1078 1218 1421 1507 1617 1914 1918 2233 2842 2877 3014 3234 3973 4263 4466 4521 5754 6699 6713 7946 8526 9042 10549 11919 13398 13426 15631 20139 21098 23838 27811 31262 31647 40278 43703 46893 55622 63294 73843 83433 87406 93786 131109 147686 166866 194677 221529 262218 305921 389354 443058 584031 611842 917763 1168062 1835526 2141447 4282894 6424341 12848682