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12882198 = 2372431019
BaseRepresentation
bin110001001001…
…000100010110
3220020111001110
4301021010112
511244212243
61140035450
7214332300
oct61110426
926214043
1012882198
1172a964a
124392b86
132890704
1419d4970
1511e6e33
hexc49116

12882198 has 48 divisors (see below), whose sum is σ = 30697920. Its totient is φ = 3591504.

The previous prime is 12882197. The next prime is 12882203. The reversal of 12882198 is 89128821.

It is a super-2 number, since 2×128821982 = 331902050622408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12882193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12133 + ... + 13151.

It is an arithmetic number, because the mean of its divisors is an integer number (639540).

Almost surely, 212882198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12882198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348960).

12882198 is an abundant number, since it is smaller than the sum of its proper divisors (17815722).

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

12882198 is a wasteful number, since it uses less digits than its factorization.

12882198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1074 counting only the distinct ones).

The product of its digits is 18432, while the sum is 39.

The square root of 12882198 is about 3589.1779002997. The cubic root of 12882198 is about 234.4210768787.

It can be divided in two parts, 1288 and 2198, that added together give a triangular number (3486 = T83).

The spelling of 12882198 in words is "twelve million, eight hundred eighty-two thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 258 294 301 602 903 1019 1806 2038 2107 3057 4214 6114 6321 7133 12642 14266 21399 42798 43817 49931 87634 99862 131451 149793 262902 299586 306719 613438 920157 1840314 2147033 4294066 6441099 12882198