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12790528 = 28172939
BaseRepresentation
bin110000110010…
…101100000000
3220001211022021
4300302230000
511233244103
61134051224
7213501112
oct60625400
926054267
1012790528
117246793
124349b14
13285aa7a
1419ad3b2
1511c9bbd
hexc32b00

12790528 has 36 divisors (see below), whose sum is σ = 27042120. Its totient is φ = 6017024.

The previous prime is 12790499. The next prime is 12790529. The reversal of 12790528 is 82509721.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 12790493 and 12790502.

It is not an unprimeable number, because it can be changed into a prime (12790529) 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, 2883 + ... + 5821.

It is an arithmetic number, because the mean of its divisors is an integer number (751170).

Almost surely, 212790528 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 12790528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13521060).

12790528 is an abundant number, since it is smaller than the sum of its proper divisors (14251592).

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

12790528 is an equidigital number, since it uses as much as digits as its factorization.

12790528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 12790528 is about 3576.3847667722. The cubic root of 12790528 is about 233.8637042017.

The spelling of 12790528 in words is "twelve million, seven hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 2939 4352 5878 11756 23512 47024 49963 94048 99926 188096 199852 376192 399704 752384 799408 1598816 3197632 6395264 12790528