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11056608 = 253367191
BaseRepresentation
bin101010001011…
…010111100000
3202210201211000
4222023113200
510312302413
61032552000
7162660003
oct52132740
922721730
1011056608
116271aa2
123852600
1323a1794
14167b53a
15e86073
hexa8b5e0

11056608 has 96 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 3611520.

The previous prime is 11056607. The next prime is 11056621. The reversal of 11056608 is 80665011.

11056608 is a `hidden beast` number, since 1 + 1 + 0 + 56 + 608 = 666.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11056601) by changing a digit.

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, 57793 + ... + 57983.

It is an arithmetic number, because the mean of its divisors is an integer number (342720).

Almost surely, 211056608 is an apocalyptic number.

11056608 is a gapful number since it is divisible by the number (18) 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 11056608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

11056608 is an abundant number, since it is smaller than the sum of its proper divisors (21844512).

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

11056608 is a wasteful number, since it uses less digits than its factorization.

11056608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 11056608 is about 3325.1478162632. The cubic root of 11056608 is about 222.7788566953.

It can be divided in two parts, 11056 and 608, that added together give a square (11664 = 1082).

The spelling of 11056608 in words is "eleven million, fifty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 96 108 134 144 191 201 216 268 288 382 402 432 536 573 603 764 804 864 1072 1146 1206 1528 1608 1719 1809 2144 2292 2412 3056 3216 3438 3618 4584 4824 5157 6112 6432 6876 7236 9168 9648 10314 12797 13752 14472 18336 19296 20628 25594 27504 28944 38391 41256 51188 55008 57888 76782 82512 102376 115173 153564 165024 204752 230346 307128 345519 409504 460692 614256 691038 921384 1228512 1382076 1842768 2764152 3685536 5528304 11056608