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12742308 = 2232418997
BaseRepresentation
bin110000100110…
…111010100100
3212222101011100
4300212322210
511230223213
61133040100
7213210405
oct60467244
925871140
1012742308
117213537
124326030
132841b37
1419999ac
1511ba773
hexc26ea4

12742308 has 72 divisors (see below), whose sum is σ = 33710040. Its totient is φ = 4055040.

The previous prime is 12742297. The next prime is 12742321. The reversal of 12742308 is 80324721.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 12659364 = 288^2 + 3558^2 .

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131316 + ... + 131412.

It is an arithmetic number, because the mean of its divisors is an integer number (468195).

Almost surely, 212742308 is an apocalyptic number.

12742308 is a gapful number since it is divisible by the number (18) 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 12742308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855020).

12742308 is an abundant number, since it is smaller than the sum of its proper divisors (20967732).

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

12742308 is a wasteful number, since it uses less digits than its factorization.

12742308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12742308 is about 3569.6369563304. The cubic root of 12742308 is about 233.5694471598.

The spelling of 12742308 in words is "twelve million, seven hundred forty-two thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 89 97 123 164 178 194 246 267 291 356 369 388 492 534 582 738 801 873 1068 1164 1476 1602 1746 3204 3492 3649 3977 7298 7954 8633 10947 11931 14596 15908 17266 21894 23862 25899 32841 34532 35793 43788 47724 51798 65682 71586 77697 103596 131364 143172 155394 310788 353953 707906 1061859 1415812 2123718 3185577 4247436 6371154 12742308