11029520 has 20 divisors (see below), whose sum is σ = 25643820. Its totient is φ = 4411776.

The previous prime is 11029517. The next prime is 11029559. The reversal of 11029520 is 2592011.

It can be written as a sum of positive squares in 2 ways, for example, as 1763584 + 9265936 = 1328^2 + 3044^2 .

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

It is a super-2 number, since 2×11029520² = 243300622860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11029492 and 11029501.

It is an unprimeable number.

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, 68855 + ... + 69014.

It is an arithmetic number, because the mean of its divisors is an integer number (1282191).

Almost surely, 2^11029520 is an apocalyptic number.

11029520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11029520 is an abundant number, since it is smaller than the sum of its proper divisors (14614300).

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

11029520 is a wasteful number, since it uses less digits than its factorization.

11029520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137882 (or 137876 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 11029520 is about 3321.0721160493. The cubic root of 11029520 is about 222.5967764844.

The spelling of 11029520 in words is "eleven million, twenty-nine thousand, five hundred twenty".