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11035829 = 72225221
BaseRepresentation
bin101010000110…
…010010110101
3202202200022102
4222012102311
510311121304
61032311445
7162542300
oct52062265
922680272
1011035829
116258422
123842585
13239519c
141673b37
15e7ed1e
hexa864b5

11035829 has 6 divisors (see below), whose sum is σ = 12837654. Its totient is φ = 9459240.

The previous prime is 11035813. The next prime is 11035831. The reversal of 11035829 is 92853011.

It can be written as a sum of positive squares in only one way, i.e., 8236900 + 2798929 = 2870^2 + 1673^2 .

It is not a de Polignac number, because 11035829 - 24 = 11035813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11035429) 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 5 ways as a sum of consecutive naturals, for example, 112562 + ... + 112659.

It is an arithmetic number, because the mean of its divisors is an integer number (2139609).

Almost surely, 211035829 is an apocalyptic number.

It is an amenable number.

11035829 is a deficient number, since it is larger than the sum of its proper divisors (1801825).

11035829 is an equidigital number, since it uses as much as digits as its factorization.

11035829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225235 (or 225228 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 11035829 is about 3322.0218241306. The cubic root of 11035829 is about 222.6392109505.

The spelling of 11035829 in words is "eleven million, thirty-five thousand, eight hundred twenty-nine".

Divisors: 1 7 49 225221 1576547 11035829