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11285504 = 210103107
BaseRepresentation
bin101011000011…
…010000000000
3210020100210122
4223003100000
510342114004
61041515412
7164632226
oct53032000
923210718
1011285504
116408a6a
123942b68
132451a19
1416dab16
15ecdcbe
hexac3400

11285504 has 44 divisors (see below), whose sum is σ = 22991904. Its totient is φ = 5535744.

The previous prime is 11285503. The next prime is 11285507. The reversal of 11285504 is 40558211.

It is a super-3 number, since 3×112855043 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11285503) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 105419 + ... + 105525.

Almost surely, 211285504 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 11285504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11495952).

11285504 is an abundant number, since it is smaller than the sum of its proper divisors (11706400).

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

11285504 is a wasteful number, since it uses less digits than its factorization.

11285504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 11285504 is about 3359.3904208948. The cubic root of 11285504 is about 224.3057050468.

The spelling of 11285504 in words is "eleven million, two hundred eighty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 103 107 128 206 214 256 412 428 512 824 856 1024 1648 1712 3296 3424 6592 6848 11021 13184 13696 22042 26368 27392 44084 52736 54784 88168 105472 109568 176336 352672 705344 1410688 2821376 5642752 11285504