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11045056 = 261129541
BaseRepresentation
bin101010001000…
…100011000000
3202210010222011
4222020203000
510311420211
61032422304
7162611221
oct52104300
922703864
1011045056
116264350
123847994
132399449
141677248
15e82921
hexa888c0

11045056 has 56 divisors (see below), whose sum is σ = 24780240. Its totient is φ = 4838400.

The previous prime is 11045051. The next prime is 11045093. The reversal of 11045056 is 65054011.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11045051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20146 + ... + 20686.

Almost surely, 211045056 is an apocalyptic number.

11045056 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 11045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12390120).

11045056 is an abundant number, since it is smaller than the sum of its proper divisors (13735184).

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

11045056 is a wasteful number, since it uses less digits than its factorization.

11045056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 11045056 is about 3323.4102966682. The cubic root of 11045056 is about 222.7012428329.

Adding to 11045056 its reverse (65054011), we get a palindrome (76099067).

The spelling of 11045056 in words is "eleven million, forty-five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 319 352 464 541 638 704 928 1082 1276 1856 2164 2552 4328 5104 5951 8656 10208 11902 15689 17312 20416 23804 31378 34624 47608 62756 95216 125512 172579 190432 251024 345158 380864 502048 690316 1004096 1380632 2761264 5522528 11045056