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12801348 = 2233724159
BaseRepresentation
bin110000110101…
…010101000100
3220002101011000
4300311111010
511234120343
61134213300
7213544500
oct60652504
926071130
1012801348
11725392a
124354230
132862981
1419b3300
1511cced3
hexc35544

12801348 has 144 divisors (see below), whose sum is σ = 40219200. Its totient is φ = 3507840.

The previous prime is 12801337. The next prime is 12801359. The reversal of 12801348 is 84310821.

It is an interprime number because it is at equal distance from previous prime (12801337) and next prime (12801359).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216943 + ... + 217001.

It is an arithmetic number, because the mean of its divisors is an integer number (279300).

Almost surely, 212801348 is an apocalyptic number.

12801348 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 12801348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109600).

12801348 is an abundant number, since it is smaller than the sum of its proper divisors (27417852).

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

12801348 is a wasteful number, since it uses less digits than its factorization.

12801348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12801348 is about 3577.8971477671. The cubic root of 12801348 is about 233.9296303853.

It can be divided in two parts, 1280 and 1348, that added together give a triangular number (2628 = T72).

The spelling of 12801348 in words is "twelve million, eight hundred one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 49 54 59 63 82 84 98 108 118 123 126 147 164 177 189 196 236 246 252 287 294 354 369 378 413 441 492 531 574 588 708 738 756 826 861 882 1062 1107 1148 1239 1323 1476 1593 1652 1722 1764 2009 2124 2214 2419 2478 2583 2646 2891 3186 3444 3717 4018 4428 4838 4956 5166 5292 5782 6027 6372 7257 7434 7749 8036 8673 9676 10332 11151 11564 12054 14514 14868 15498 16933 17346 18081 21771 22302 24108 26019 29028 30996 33866 34692 36162 43542 44604 50799 52038 54243 65313 67732 72324 78057 87084 101598 104076 108486 118531 130626 152397 156114 203196 216972 237062 261252 304794 312228 355593 457191 474124 609588 711186 914382 1066779 1422372 1828764 2133558 3200337 4267116 6400674 12801348