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12663616 = 267231229
BaseRepresentation
bin110000010011…
…101101000000
3212211101012211
4300103231000
511220213431
61131231504
7212432110
oct60235500
925741184
1012663616
11716a3a9
1242a8594
132815084
141979040
1511a22b1
hexc13b40

12663616 has 56 divisors (see below), whose sum is σ = 29992320. Its totient is φ = 5187072.

The previous prime is 12663601. The next prime is 12663619. The reversal of 12663616 is 61636621.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12663619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9690 + ... + 10918.

Almost surely, 212663616 is an apocalyptic number.

12663616 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 12663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996160).

12663616 is an abundant number, since it is smaller than the sum of its proper divisors (17328704).

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

12663616 is a wasteful number, since it uses less digits than its factorization.

12663616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1261 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 12663616 is about 3558.5974765348. The cubic root of 12663616 is about 233.0876397950.

The spelling of 12663616 in words is "twelve million, six hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1229 1288 1472 2458 2576 4916 5152 8603 9832 10304 17206 19664 28267 34412 39328 56534 68824 78656 113068 137648 197869 226136 275296 395738 452272 550592 791476 904544 1582952 1809088 3165904 6331808 12663616