11148520 has 32 divisors (see below), whose sum is σ = 25324200. Its totient is φ = 4416768.

The previous prime is 11148517. The next prime is 11148523. The reversal of 11148520 is 2584111.

It is an interprime number because it is at equal distance from previous prime (11148517) and next prime (11148523).

It can be written as a sum of positive squares in 4 ways, for example, as 9474084 + 1674436 = 3078^2 + 1294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11148491 and 11148500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11148523) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3082 + ... + 5638.

It is a vampire number, since it can be written as 2180 ⋅ 5114 (with its own digits).

Almost surely, 2^11148520 is an apocalyptic number.

11148520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11148520 is an abundant number, since it is smaller than the sum of its proper divisors (14175680).

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

11148520 is a wasteful number, since it uses less digits than its factorization.

11148520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 11148520 is about 3338.9399515415. The cubic root of 11148520 is about 223.3944636007.

The spelling of 11148520 in words is "eleven million, one hundred forty-eight thousand, five hundred twenty".