Search a number
-
+
12305016 = 23323137149
BaseRepresentation
bin101110111100…
…001001111000
3212011011022100
4232330021320
511122230031
61115423400
7206406453
oct56741170
925134270
1012305016
116a44a39
124154b60
13271aa99
1418c449a
151130de6
hexbbc278

12305016 has 96 divisors (see below), whose sum is σ = 35568000. Its totient is φ = 3836160.

The previous prime is 12305003. The next prime is 12305017. The reversal of 12305016 is 61050321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12305016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12305017) 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 23 ways as a sum of consecutive naturals, for example, 82510 + ... + 82658.

It is an arithmetic number, because the mean of its divisors is an integer number (370500).

Almost surely, 212305016 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 12305016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17784000).

12305016 is an abundant number, since it is smaller than the sum of its proper divisors (23262984).

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

12305016 is a wasteful number, since it uses less digits than its factorization.

12305016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 12305016 is about 3507.8506239576. The cubic root of 12305016 is about 230.8663982605.

Adding to 12305016 its reverse (61050321), we get a palindrome (73355337).

The spelling of 12305016 in words is "twelve million, three hundred five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 37 62 72 74 93 111 124 148 149 186 222 248 279 296 298 333 372 444 447 558 596 666 744 888 894 1116 1147 1192 1332 1341 1788 2232 2294 2664 2682 3441 3576 4588 4619 5364 5513 6882 9176 9238 10323 10728 11026 13764 13857 16539 18476 20646 22052 27528 27714 33078 36952 41292 41571 44104 49617 55428 66156 82584 83142 99234 110856 132312 166284 170903 198468 332568 341806 396936 512709 683612 1025418 1367224 1538127 2050836 3076254 4101672 6152508 12305016