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12103728 = 24371317163
BaseRepresentation
bin101110001011…
…000000110000
3211202221012020
4232023000300
511044304403
61111231440
7204610560
oct56130060
924687166
1012103728
11691778a
124078580
13267a290
141870da0
1510e1453
hexb8b030

12103728 has 160 divisors (see below), whose sum is σ = 40997376. Its totient is φ = 2985984.

The previous prime is 12103709. The next prime is 12103747. The reversal of 12103728 is 82730121.

It is an interprime number because it is at equal distance from previous prime (12103709) and next prime (12103747).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12103698 and 12103707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74175 + ... + 74337.

Almost surely, 212103728 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 12103728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20498688).

12103728 is an abundant number, since it is smaller than the sum of its proper divisors (28893648).

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

12103728 is a wasteful number, since it uses less digits than its factorization.

12103728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 12103728 is about 3479.0412472404. The cubic root of 12103728 is about 229.6006175446.

Adding to 12103728 its reverse (82730121), we get a palindrome (94833849).

It can be divided in two parts, 12 and 103728, that added together give a triangular number (103740 = T455).

The spelling of 12103728 in words is "twelve million, one hundred three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 102 104 112 119 136 156 163 168 182 204 208 221 238 272 273 312 326 336 357 364 408 442 476 489 546 624 652 663 714 728 816 884 952 978 1092 1141 1304 1326 1428 1456 1547 1768 1904 1956 2119 2184 2282 2608 2652 2771 2856 3094 3423 3536 3912 4238 4368 4564 4641 5304 5542 5712 6188 6357 6846 7824 8313 8476 9128 9282 10608 11084 12376 12714 13692 14833 16626 16952 18256 18564 19397 22168 24752 25428 27384 29666 33252 33904 36023 37128 38794 44336 44499 50856 54768 58191 59332 66504 72046 74256 77588 88998 101712 108069 116382 118664 133008 144092 155176 177996 216138 232764 237328 252161 288184 310352 355992 432276 465528 504322 576368 711984 756483 864552 931056 1008644 1512966 1729104 2017288 3025932 4034576 6051864 12103728