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12106528 = 25731103
BaseRepresentation
bin101110001011…
…101100100000
3211210002000221
4232023230200
511044402103
61111252424
7204622000
oct56135440
924702027
1012106528
1169198a5
12407a114
13267b635
141872000
1510e21bd
hexb8bb20

12106528 has 48 divisors (see below), whose sum is σ = 27820800. Its totient is φ = 5183808.

The previous prime is 12106459. The next prime is 12106531. The reversal of 12106528 is 82560121.

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 7 ways as a sum of consecutive naturals, for example, 10425 + ... + 11527.

It is an arithmetic number, because the mean of its divisors is an integer number (579600).

Almost surely, 212106528 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 12106528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13910400).

12106528 is an abundant number, since it is smaller than the sum of its proper divisors (15714272).

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

12106528 is an equidigital number, since it uses as much as digits as its factorization.

12106528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 12106528 is about 3479.4436336863. The cubic root of 12106528 is about 229.6183209652.

Adding to 12106528 its reverse (82560121), we get a palindrome (94666649).

The spelling of 12106528 in words is "twelve million, one hundred six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1103 1372 1568 2206 2744 4412 5488 7721 8824 10976 15442 17648 30884 35296 54047 61768 108094 123536 216188 247072 378329 432376 756658 864752 1513316 1729504 3026632 6053264 12106528