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11035104 = 253711619
BaseRepresentation
bin101010000110…
…000111100000
3202202122022120
4222012013200
510311110404
61032304240
7162540213
oct52060740
922678276
1011035104
116257923
123842080
132394a62
14167377a
15e7e9d9
hexa861e0

11035104 has 48 divisors (see below), whose sum is σ = 29393280. Its totient is φ = 3624320.

The previous prime is 11035103. The next prime is 11035117. The reversal of 11035104 is 40153011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11035103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6007 + ... + 7625.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 211035104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11035104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696640).

11035104 is an abundant number, since it is smaller than the sum of its proper divisors (18358176).

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

11035104 is a wasteful number, since it uses less digits than its factorization.

11035104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 11035104 is about 3321.9127020438. The cubic root of 11035104 is about 222.6343354080.

Adding to 11035104 its reverse (40153011), we get a palindrome (51188115).

The spelling of 11035104 in words is "eleven million, thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1619 1704 2272 3238 3408 4857 6476 6816 9714 12952 19428 25904 38856 51808 77712 114949 155424 229898 344847 459796 689694 919592 1379388 1839184 2758776 3678368 5517552 11035104