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11192896 = 2611131223
BaseRepresentation
bin101010101100…
…101001000000
3210001122202201
4222230221000
510331133041
61035522544
7164065231
oct52545100
923048681
1011192896
116355430
1238b9454
13241b820
1416b5088
15eb1631
hexaaca40

11192896 has 56 divisors (see below), whose sum is σ = 26115264. Its totient is φ = 4692480.

The previous prime is 11192873. The next prime is 11192897. The reversal of 11192896 is 69829111.

It is not an unprimeable number, because it can be changed into a prime (11192897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8541 + ... + 9763.

It is an arithmetic number, because the mean of its divisors is an integer number (466344).

Almost surely, 211192896 is an apocalyptic number.

11192896 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 11192896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13057632).

11192896 is an abundant number, since it is smaller than the sum of its proper divisors (14922368).

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

11192896 is a wasteful number, since it uses less digits than its factorization.

11192896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1249 counting only the distinct ones).

The product of its digits is 7776, while the sum is 37.

The square root of 11192896 is about 3345.5785747760. The cubic root of 11192896 is about 223.6904738502.

The spelling of 11192896 in words is "eleven million, one hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 1223 2288 2446 4576 4892 9152 9784 13453 15899 19568 26906 31798 39136 53812 63596 78272 107624 127192 174889 215248 254384 349778 430496 508768 699556 860992 1017536 1399112 2798224 5596448 11192896