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11044000 = 255311251
BaseRepresentation
bin101010001000…
…010010100000
3202210002112001
4222020102200
510311402000
61032413344
7162605152
oct52102240
922702461
1011044000
116263580
123847254
132398b16
141676ad2
15e8246a
hexa884a0

11044000 has 96 divisors (see below), whose sum is σ = 29719872. Its totient is φ = 4000000.

The previous prime is 11043973. The next prime is 11044001. The reversal of 11044000 is 44011.

Adding to 11044000 its reverse (44011), we get a palindrome (11088011).

It can be divided in two parts, 110 and 44000, that multiplied together give a square (4840000 = 22002).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11044001) 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, 43875 + ... + 44125.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 211044000 is an apocalyptic number.

11044000 is a gapful number since it is divisible by the number (10) 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 11044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936).

11044000 is an abundant number, since it is smaller than the sum of its proper divisors (18675872).

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

11044000 is a wasteful number, since it uses less digits than its factorization.

11044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 11044000 is about 3323.2514199200. The cubic root of 11044000 is about 222.6941452377.

The spelling of 11044000 in words is "eleven million, forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 251 275 352 400 440 500 502 550 800 880 1000 1004 1100 1255 1375 1760 2000 2008 2200 2510 2750 2761 4000 4016 4400 5020 5500 5522 6275 8032 8800 10040 11000 11044 12550 13805 20080 22000 22088 25100 27610 31375 40160 44000 44176 50200 55220 62750 69025 88352 100400 110440 125500 138050 200800 220880 251000 276100 345125 441760 502000 552200 690250 1004000 1104400 1380500 2208800 2761000 5522000 11044000