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11171296 = 25596197
BaseRepresentation
bin101010100111…
…010111100000
3210000120010201
4222213113200
510324440141
61035234544
7163645243
oct52472740
923016121
1011171296
116340184
1238a8a54
132411a46
1416ab25a
15eaa031
hexaa75e0

11171296 has 48 divisors (see below), whose sum is σ = 22967280. Its totient is φ = 5345280.

The previous prime is 11171273. The next prime is 11171309. The reversal of 11171296 is 69217111.

11171296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 115120 + ... + 115216.

It is an arithmetic number, because the mean of its divisors is an integer number (478485).

Almost surely, 211171296 is an apocalyptic number.

11171296 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 11171296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11483640).

11171296 is an abundant number, since it is smaller than the sum of its proper divisors (11795984).

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

11171296 is an equidigital number, since it uses as much as digits as its factorization.

11171296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its digits is 756, while the sum is 28.

The square root of 11171296 is about 3342.3488746688. The cubic root of 11171296 is about 223.5464889023.

The spelling of 11171296 in words is "eleven million, one hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 59 61 97 118 122 194 236 244 388 472 488 776 944 976 1552 1888 1952 3104 3599 5723 5917 7198 11446 11834 14396 22892 23668 28792 45784 47336 57584 91568 94672 115168 183136 189344 349103 698206 1396412 2792824 5585648 11171296