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13281912 = 2332719273
BaseRepresentation
bin110010101010…
…101001111000
3220222210100200
4302222221320
511400010122
61152402200
7220615530
oct62525170
926883320
1013281912
117551996
124546360
1329a0627
141a9a4c0
1512755ac
hexcaaa78

13281912 has 144 divisors (see below), whose sum is σ = 43982640. Its totient is φ = 3545856.

The previous prime is 13281911. The next prime is 13281941. The reversal of 13281912 is 21918231.

13281912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13281911) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181908 + ... + 181980.

It is an arithmetic number, because the mean of its divisors is an integer number (305435).

Almost surely, 213281912 is an apocalyptic number.

13281912 is a gapful number since it is divisible by the number (12) 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 13281912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21991320).

13281912 is an abundant number, since it is smaller than the sum of its proper divisors (30700728).

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

13281912 is a wasteful number, since it uses less digits than its factorization.

13281912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 13281912 is about 3644.4357587972. The cubic root of 13281912 is about 236.8209939233.

It can be divided in two parts, 1328 and 1912, that added together give a triangular number (3240 = T80).

The spelling of 13281912 in words is "thirteen million, two hundred eighty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 73 76 84 114 126 133 146 152 168 171 219 228 252 266 292 342 361 399 438 456 504 511 532 584 657 684 722 798 876 1022 1064 1083 1197 1314 1368 1387 1444 1533 1596 1752 2044 2166 2394 2527 2628 2774 2888 3066 3192 3249 4088 4161 4332 4599 4788 5054 5256 5548 6132 6498 7581 8322 8664 9198 9576 9709 10108 11096 12264 12483 12996 15162 16644 18396 19418 20216 22743 24966 25992 26353 29127 30324 33288 36792 38836 45486 49932 52706 58254 60648 77672 79059 87381 90972 99864 105412 116508 158118 174762 181944 184471 210824 233016 237177 316236 349524 368942 474354 553413 632472 699048 737884 948708 1106826 1475768 1660239 1897416 2213652 3320478 4427304 6640956 13281912