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12821028 = 223112341103
BaseRepresentation
bin110000111010…
…001000100100
3220010101010220
4300322020210
511240233103
61134444340
7213656043
oct60721044
926111126
1012821028
1172676a0
1243636b0
13286b90c
1419ba55a
1511d3c53
hexc3a224

12821028 has 96 divisors (see below), whose sum is σ = 35223552. Its totient is φ = 3590400.

The previous prime is 12821027. The next prime is 12821047. The reversal of 12821028 is 82012821.

It is a junction number, because it is equal to n+sod(n) for n = 12820989 and 12821007.

It is not an unprimeable number, because it can be changed into a prime (12821021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124425 + ... + 124527.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 212821028 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 12821028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776).

12821028 is an abundant number, since it is smaller than the sum of its proper divisors (22402524).

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

12821028 is a wasteful number, since it uses less digits than its factorization.

12821028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12821028 is about 3580.6463103747. The cubic root of 12821028 is about 234.0494453186.

Adding to 12821028 its reverse (82012821), we get a palindrome (94833849).

The spelling of 12821028 in words is "twelve million, eight hundred twenty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 41 44 46 66 69 82 92 103 123 132 138 164 206 246 253 276 309 412 451 492 506 618 759 902 943 1012 1133 1236 1353 1518 1804 1886 2266 2369 2706 2829 3036 3399 3772 4223 4532 4738 5412 5658 6798 7107 8446 9476 10373 11316 12669 13596 14214 16892 20746 25338 26059 28428 31119 41492 46453 50676 52118 62238 78177 92906 97129 104236 124476 139359 156354 185812 194258 278718 291387 312708 388516 557436 582774 1068419 1165548 2136838 3205257 4273676 6410514 12821028