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11053056 = 21137257
BaseRepresentation
bin101010001010…
…100000000000
3202210112221110
4222022200000
510312144211
61032523320
7162643440
oct52124000
922715843
1011053056
11626a363
123850540
13239cc91
14167a120
15e84ea6
hexa8a800

11053056 has 96 divisors (see below), whose sum is σ = 33808320. Its totient is φ = 3145728.

The previous prime is 11053051. The next prime is 11053061. The reversal of 11053056 is 65035011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11053051) and next prime (11053061).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11053051) 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, 42880 + ... + 43136.

It is an arithmetic number, because the mean of its divisors is an integer number (352170).

Almost surely, 211053056 is an apocalyptic number.

11053056 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 11053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16904160).

11053056 is an abundant number, since it is smaller than the sum of its proper divisors (22755264).

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

11053056 is an equidigital number, since it uses as much as digits as its factorization.

11053056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 11053056 is about 3324.6136617658. The cubic root of 11053056 is about 222.7549978032.

Adding to 11053056 its reverse (65035011), we get a palindrome (76088067).

The spelling of 11053056 in words is "eleven million, fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 257 336 384 448 512 514 672 768 771 896 1024 1028 1344 1536 1542 1792 1799 2048 2056 2688 3072 3084 3584 3598 4112 5376 5397 6144 6168 7168 7196 8224 10752 10794 12336 14336 14392 16448 21504 21588 24672 28784 32896 43008 43176 49344 57568 65792 86352 98688 115136 131584 172704 197376 230272 263168 345408 394752 460544 526336 690816 789504 921088 1381632 1579008 1842176 2763264 3684352 5526528 11053056