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12302928 = 243411863
BaseRepresentation
bin101110111011…
…101001010000
3212011001110000
4232323221100
511122143203
61115410000
7206400411
oct56735120
925131400
1012302928
116a43410
124153900
132719b51
1418c3808
1511304a3
hexbbba50

12302928 has 100 divisors (see below), whose sum is σ = 38890368. Its totient is φ = 3723840.

The previous prime is 12302921. The next prime is 12302947. The reversal of 12302928 is 82920321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13825 + ... + 14687.

Almost surely, 212302928 is an apocalyptic number.

12302928 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 12302928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19445184).

12302928 is an abundant number, since it is smaller than the sum of its proper divisors (26587440).

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

12302928 is a wasteful number, since it uses less digits than its factorization.

12302928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12302928 is about 3507.5529931848. The cubic root of 12302928 is about 230.8533391875.

The spelling of 12302928 in words is "twelve million, three hundred two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 863 891 1188 1296 1584 1726 1782 2376 2589 3452 3564 4752 5178 6904 7128 7767 9493 10356 13808 14256 15534 18986 20712 23301 28479 31068 37972 41424 46602 56958 62136 69903 75944 85437 93204 113916 124272 139806 151888 170874 186408 227832 256311 279612 341748 372816 455664 512622 559224 683496 768933 1025244 1118448 1366992 1537866 2050488 3075732 4100976 6151464 12302928