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11000840 = 235377433
BaseRepresentation
bin101001111101…
…110000001000
3202200220022112
4221331300020
510304011330
61031441452
7162335264
oct51756010
922626275
1011000840
116234104
123826288
132382296
1416650a4
15e74795
hexa7dc08

11000840 has 32 divisors (see below), whose sum is σ = 25424280. Its totient is φ = 4280832.

The previous prime is 11000827. The next prime is 11000849. The reversal of 11000840 is 4800011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8421604 + 2579236 = 2902^2 + 1606^2 .

It is not an unprimeable number, because it can be changed into a prime (11000849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2237 + ... + 5196.

Almost surely, 211000840 is an apocalyptic number.

11000840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000840 is an abundant number, since it is smaller than the sum of its proper divisors (14423440).

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

11000840 is a wasteful number, since it uses less digits than its factorization.

11000840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7481 (or 7477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 11000840 is about 3316.7514227026. The cubic root of 11000840 is about 222.4036699531.

Adding to 11000840 its reverse (4800011), we get a palindrome (15800851).

The spelling of 11000840 in words is "eleven million, eight hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 7433 14866 29732 37165 59464 74330 148660 275021 297320 550042 1100084 1375105 2200168 2750210 5500420 11000840