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11235920 = 245140449
BaseRepresentation
bin101010110111…
…001001010000
3210010211210012
4222313021100
510334022140
61040454052
7164334533
oct52671120
923124705
1011235920
116384793
12391a328
132435297
1416c6a1a
15ebe265
hexab7250

11235920 has 20 divisors (see below), whose sum is σ = 26123700. Its totient is φ = 4494336.

The previous prime is 11235907. The next prime is 11235977. The reversal of 11235920 is 2953211.

It can be written as a sum of positive squares in 2 ways, for example, as 4032064 + 7203856 = 2008^2 + 2684^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 70145 + ... + 70304.

It is an arithmetic number, because the mean of its divisors is an integer number (1306185).

Almost surely, 211235920 is an apocalyptic number.

11235920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11235920 is an abundant number, since it is smaller than the sum of its proper divisors (14887780).

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

11235920 is a wasteful number, since it uses less digits than its factorization.

11235920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140462 (or 140456 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 11235920 is about 3352.0023866340. The cubic root of 11235920 is about 223.9767195193.

The spelling of 11235920 in words is "eleven million, two hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 140449 280898 561796 702245 1123592 1404490 2247184 2808980 5617960 11235920