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12302016 = 263173769
BaseRepresentation
bin101110111011…
…011011000000
3212011000012020
4232323123000
511122131031
61115401440
7206364636
oct56733300
925130166
1012302016
116a42761
124153280
1327195cc
1418c3356
151130096
hexbbb6c0

12302016 has 56 divisors (see below), whose sum is σ = 34472880. Its totient is φ = 3858432.

The previous prime is 12301969. The next prime is 12302023. The reversal of 12302016 is 61020321.

It is a junction number, because it is equal to n+sod(n) for n = 12301986 and 12302004.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1380 + ... + 5148.

Almost surely, 212302016 is an apocalyptic number.

12302016 is a gapful number since it is divisible by the number (16) 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 12302016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236440).

12302016 is an abundant number, since it is smaller than the sum of its proper divisors (22170864).

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

12302016 is a wasteful number, since it uses less digits than its factorization.

12302016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 12302016 is about 3507.4229856121. The cubic root of 12302016 is about 230.8476347609.

Adding to 12302016 its reverse (61020321), we get a palindrome (73322337).

The spelling of 12302016 in words is "twelve million, three hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 3769 7538 11307 15076 22614 30152 45228 60304 64073 90456 120608 128146 180912 192219 241216 256292 361824 384438 512584 723648 768876 1025168 1537752 2050336 3075504 4100672 6151008 12302016