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11044128 = 253293967
BaseRepresentation
bin101010001000…
…010100100000
3202210002200210
4222020110200
510311403003
61032414120
7162605424
oct52102440
922702623
1011044128
116263687
123847340
132398bb4
141676b84
15e82503
hexa88520

11044128 has 48 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 3553536.

The previous prime is 11044127. The next prime is 11044133. The reversal of 11044128 is 82144011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (11044123) 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, 801 + ... + 4767.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 211044128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11044128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

11044128 is an abundant number, since it is smaller than the sum of its proper divisors (18953952).

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

11044128 is a wasteful number, since it uses less digits than its factorization.

11044128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 11044128 is about 3323.2706781122. The cubic root of 11044128 is about 222.6950055764.

Adding to 11044128 its reverse (82144011), we get a palindrome (93188139).

The spelling of 11044128 in words is "eleven million, forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 3967 7934 11901 15868 23802 31736 47604 63472 95208 115043 126944 190416 230086 345129 380832 460172 690258 920344 1380516 1840688 2761032 3681376 5522064 11044128