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11165056 = 27717733
BaseRepresentation
bin101010100101…
…110110000000
3210000020120121
4222211312000
510324240211
61035150024
7163621120
oct52456600
923006517
1011165056
116336521
1238a5314
13240bc56
1416a8c80
15ea8271
hexaa5d80

11165056 has 64 divisors (see below), whose sum is σ = 26952480. Its totient is φ = 4497408.

The previous prime is 11165047. The next prime is 11165059. The reversal of 11165056 is 65056111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 11165056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11165059) 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, 14866 + ... + 15598.

Almost surely, 211165056 is an apocalyptic number.

11165056 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 11165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13476240).

11165056 is an abundant number, since it is smaller than the sum of its proper divisors (15787424).

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

11165056 is an equidigital number, since it uses as much as digits as its factorization.

11165056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 11165056 is about 3341.4152690140. The cubic root of 11165056 is about 223.5048587012.

The spelling of 11165056 in words is "eleven million, one hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 733 896 952 1088 1466 1904 2176 2932 3808 5131 5864 7616 10262 11728 12461 15232 20524 23456 24922 41048 46912 49844 82096 87227 93824 99688 164192 174454 199376 328384 348908 398752 656768 697816 797504 1395632 1595008 2791264 5582528 11165056