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12663216 = 24353257
BaseRepresentation
bin110000010011…
…100110110000
3212211100200000
4300103212300
511220210331
61131230000
7212430666
oct60234660
925740600
1012663216
11716a075
1242a8300
132814b37
141978c36
1511a20e6
hexc139b0

12663216 has 60 divisors (see below), whose sum is σ = 36763272. Its totient is φ = 4219776.

The previous prime is 12663197. The next prime is 12663223. The reversal of 12663216 is 61236621.

12663216 is a `hidden beast` number, since 1 + 26 + 632 + 1 + 6 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 12663216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2260 + ... + 5516.

Almost surely, 212663216 is an apocalyptic number.

12663216 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 12663216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18381636).

12663216 is an abundant number, since it is smaller than the sum of its proper divisors (24100056).

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

12663216 is an equidigital number, since it uses as much as digits as its factorization.

12663216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3262 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 12663216 is about 3558.5412741740. The cubic root of 12663216 is about 233.0851856240.

Adding to 12663216 its reverse (61236621), we get a palindrome (73899837).

The spelling of 12663216 in words is "twelve million, six hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3257 3888 6514 9771 13028 19542 26056 29313 39084 52112 58626 78168 87939 117252 156336 175878 234504 263817 351756 469008 527634 703512 791451 1055268 1407024 1582902 2110536 3165804 4221072 6331608 12663216