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12815104 = 28113443
BaseRepresentation
bin110000111000…
…101100000000
3220010002000111
4300320230000
511240040404
61134401104
7213632551
oct60705400
926102014
1012815104
1172631a5
124360194
132869003
1419b8328
1511d2104
hexc38b00

12815104 has 36 divisors (see below), whose sum is σ = 25864776. Its totient is φ = 6336512.

The previous prime is 12815087. The next prime is 12815107. The reversal of 12815104 is 40151821.

It is not an unprimeable number, because it can be changed into a prime (12815107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28707 + ... + 29149.

It is an arithmetic number, because the mean of its divisors is an integer number (718466).

Almost surely, 212815104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12932388).

12815104 is an abundant number, since it is smaller than the sum of its proper divisors (13049672).

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

12815104 is an equidigital number, since it uses as much as digits as its factorization.

12815104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 12815104 is about 3579.8189898373. The cubic root of 12815104 is about 234.0133919820.

Adding to 12815104 its reverse (40151821), we get a palindrome (52966925).

The spelling of 12815104 in words is "twelve million, eight hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 443 452 886 904 1772 1808 3544 3616 7088 7232 14176 14464 28352 28928 50059 56704 100118 113408 200236 400472 800944 1601888 3203776 6407552 12815104