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12758328 = 23321189181
BaseRepresentation
bin110000101010…
…110100111000
3220000012010200
4300222310320
511231231303
61133242200
7213305202
oct60526470
926005120
1012758328
117224580
124333360
13284920b
1419a1772
1511c03a3
hexc2ad38

12758328 has 96 divisors (see below), whose sum is σ = 38329200. Its totient is φ = 3801600.

The previous prime is 12758327. The next prime is 12758371. The reversal of 12758328 is 82385721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12758292 and 12758301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12758323) 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 23 ways as a sum of consecutive naturals, for example, 70398 + ... + 70578.

Almost surely, 212758328 is an apocalyptic number.

12758328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12758328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19164600).

12758328 is an abundant number, since it is smaller than the sum of its proper divisors (25570872).

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

12758328 is a wasteful number, since it uses less digits than its factorization.

12758328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 286 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 12758328 is about 3571.8801771616. The cubic root of 12758328 is about 233.6672896005.

The spelling of 12758328 in words is "twelve million, seven hundred fifty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 89 99 132 178 181 198 264 267 356 362 396 534 543 712 724 792 801 979 1068 1086 1448 1602 1629 1958 1991 2136 2172 2937 3204 3258 3916 3982 4344 5874 5973 6408 6516 7832 7964 8811 11748 11946 13032 15928 16109 17622 17919 23496 23892 32218 35244 35838 47784 48327 64436 70488 71676 96654 128872 143352 144981 177199 193308 289962 354398 386616 531597 579924 708796 1063194 1159848 1417592 1594791 2126388 3189582 4252776 6379164 12758328