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11044900 = 2252177389
BaseRepresentation
bin101010001000…
…100000100100
3202210010202101
4222020200210
510311414100
61032421444
7162610606
oct52104044
922703671
1011044900
116264219
123847884
132399359
141677176
15e8286a
hexa88824

11044900 has 72 divisors (see below), whose sum is σ = 26013960. Its totient is φ = 4055040.

The previous prime is 11044889. The next prime is 11044919. The reversal of 11044900 is 944011.

It can be written as a sum of positive squares in 12 ways, for example, as 2715904 + 8328996 = 1648^2 + 2886^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 124056 + ... + 124144.

It is an arithmetic number, because the mean of its divisors is an integer number (361305).

Almost surely, 211044900 is an apocalyptic number.

11044900 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 11044900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13006980).

11044900 is an abundant number, since it is smaller than the sum of its proper divisors (14969060).

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

11044900 is a wasteful number, since it uses less digits than its factorization.

11044900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 11044900 is about 3323.3868267176. The cubic root of 11044900 is about 222.7001943530.

Adding to 11044900 its reverse (944011), we get a palindrome (11988911).

The spelling of 11044900 in words is "eleven million, forty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 73 85 89 100 146 170 178 292 340 356 365 425 445 730 850 890 1241 1460 1513 1700 1780 1825 2225 2482 3026 3650 4450 4964 6052 6205 6497 7300 7565 8900 12410 12994 15130 24820 25988 30260 31025 32485 37825 62050 64970 75650 110449 124100 129940 151300 162425 220898 324850 441796 552245 649700 1104490 2208980 2761225 5522450 11044900