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11011364 = 227133179
BaseRepresentation
bin101010000000…
…010100100100
3202201102202022
4222000110210
510304330424
61032002312
7162411050
oct52002444
922642668
1011011364
116241001
123830398
132387000
141668c60
15e7795e
hexa80524

11011364 has 48 divisors (see below), whose sum is σ = 23990400. Its totient is φ = 4331808.

The previous prime is 11011349. The next prime is 11011369. The reversal of 11011364 is 46311011.

It is not an unprimeable number, because it can be changed into a prime (11011369) 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 15 ways as a sum of consecutive naturals, for example, 61427 + ... + 61605.

It is an arithmetic number, because the mean of its divisors is an integer number (499800).

Almost surely, 211011364 is an apocalyptic number.

11011364 is a gapful number since it is divisible by the number (14) 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 11011364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995200).

11011364 is an abundant number, since it is smaller than the sum of its proper divisors (12979036).

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

11011364 is a wasteful number, since it uses less digits than its factorization.

11011364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 11011364 is about 3318.3375355741. The cubic root of 11011364 is about 222.4745684858.

Adding to 11011364 its reverse (46311011), we get a palindrome (57322375).

It can be divided in two parts, 11011 and 364, that multiplied together give a palindrome (4008004).

The spelling of 11011364 in words is "eleven million, eleven thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 179 182 338 358 364 676 716 1183 1253 2197 2327 2366 2506 4394 4654 4732 5012 8788 9308 15379 16289 30251 30758 32578 60502 61516 65156 121004 211757 393263 423514 786526 847028 1573052 2752841 5505682 11011364