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11119056 = 24313103173
BaseRepresentation
bin101010011010…
…100111010000
3202220220110220
4222122213100
510321302211
61034153040
7163340034
oct52324720
922826426
1011119056
116304a03
123882780
1323c4030
1416961c4
15e99806
hexa9a9d0

11119056 has 80 divisors (see below), whose sum is σ = 31414656. Its totient is φ = 3368448.

The previous prime is 11119033. The next prime is 11119061. The reversal of 11119056 is 65091111.

It is a super-2 number, since 2×111190562 = 247266812662272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64186 + ... + 64358.

Almost surely, 211119056 is an apocalyptic number.

11119056 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 11119056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15707328).

11119056 is an abundant number, since it is smaller than the sum of its proper divisors (20295600).

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

11119056 is a wasteful number, since it uses less digits than its factorization.

11119056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 24.

The square root of 11119056 is about 3334.5248537085. The cubic root of 11119056 is about 223.1974897265.

The spelling of 11119056 in words is "eleven million, one hundred nineteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 173 206 208 309 312 346 412 519 618 624 692 824 1038 1236 1339 1384 1648 2076 2249 2472 2678 2768 4017 4152 4498 4944 5356 6747 8034 8304 8996 10712 13494 16068 17819 17992 21424 26988 32136 35638 35984 53457 53976 64272 71276 106914 107952 142552 213828 231647 285104 427656 463294 694941 855312 926588 1389882 1853176 2779764 3706352 5559528 11119056