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11530824 = 233480451
BaseRepresentation
bin101011111111…
…001001001000
3210200211022120
4223333021020
510422441244
61051051240
7200003364
oct53771110
923624276
1011530824
116566308
123a40b20
132509596
1417622a4
15102b819
hexaff248

11530824 has 16 divisors (see below), whose sum is σ = 28827120. Its totient is φ = 3843600.

The previous prime is 11530817. The next prime is 11530829. The reversal of 11530824 is 42803511.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 480451 = 11530824 / (1 + 1 + 5 + 3 + 0 + 8 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 11530794 and 11530803.

It is not an unprimeable number, because it can be changed into a prime (11530829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 240202 + ... + 240249.

It is an arithmetic number, because the mean of its divisors is an integer number (1801695).

Almost surely, 211530824 is an apocalyptic number.

It is an amenable number.

11530824 is an abundant number, since it is smaller than the sum of its proper divisors (17296296).

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

11530824 is a wasteful number, since it uses less digits than its factorization.

11530824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480460 (or 480456 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 11530824 is about 3395.7067011154. The cubic root of 11530824 is about 225.9193593308.

The spelling of 11530824 in words is "eleven million, five hundred thirty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 480451 960902 1441353 1921804 2882706 3843608 5765412 11530824