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11089940 = 225312577
BaseRepresentation
bin101010010011…
…100000010100
3202212102112112
4222103200110
510314334230
61033410152
7163156121
oct52234024
922772475
1011089940
116295044
123869958
1323b39c4
141689748
15e90d95
hexa93814

11089940 has 36 divisors (see below), whose sum is σ = 24106068. Its totient is φ = 4285440.

The previous prime is 11089931. The next prime is 11089943. The reversal of 11089940 is 4998011.

It can be written as a sum of positive squares in 2 ways, for example, as 8491396 + 2598544 = 2914^2 + 1612^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11089897 and 11089906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11089943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18932 + ... + 19508.

It is an arithmetic number, because the mean of its divisors is an integer number (669613).

Almost surely, 211089940 is an apocalyptic number.

11089940 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 11089940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12053034).

11089940 is an abundant number, since it is smaller than the sum of its proper divisors (13016128).

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

11089940 is a wasteful number, since it uses less digits than its factorization.

11089940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 11089940 is about 3330.1561524950. The cubic root of 11089940 is about 223.0025001898.

The spelling of 11089940 in words is "eleven million, eighty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 577 620 961 1154 1922 2308 2885 3844 4805 5770 9610 11540 17887 19220 35774 71548 89435 178870 357740 554497 1108994 2217988 2772485 5544970 11089940