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12613216 = 257115119
BaseRepresentation
bin110000000111…
…011001100000
3212201211002011
4300013121200
511212110331
61130202304
7212132140
oct60073140
925654064
1012613216
117135550
124283394
1327c8155
141964920
1511923b1
hexc07660

12613216 has 48 divisors (see below), whose sum is σ = 30965760. Its totient is φ = 4913280.

The previous prime is 12613193. The next prime is 12613229. The reversal of 12613216 is 61231621.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96 + ... + 5023.

It is an arithmetic number, because the mean of its divisors is an integer number (645120).

Almost surely, 212613216 is an apocalyptic number.

12613216 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 12613216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482880).

12613216 is an abundant number, since it is smaller than the sum of its proper divisors (18352544).

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

12613216 is a wasteful number, since it uses less digits than its factorization.

12613216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147 (or 5139 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 12613216 is about 3551.5089750696. The cubic root of 12613216 is about 232.7780063696.

Adding to 12613216 its reverse (61231621), we get a palindrome (73844837).

The spelling of 12613216 in words is "twelve million, six hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 5119 10238 20476 35833 40952 56309 71666 81904 112618 143332 163808 225236 286664 394163 450472 573328 788326 900944 1146656 1576652 1801888 3153304 6306608 12613216