11057940 has 72 divisors (see below), whose sum is σ = 35013888. Its totient is φ = 2819520.

The previous prime is 11057933. The next prime is 11057951. The reversal of 11057940 is 4975011.

11057940 = 110² + 111² + ... + 325².

It is a nialpdrome in base 15.

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 23 ways as a sum of consecutive naturals, for example, 2805 + ... + 5475.

It is an arithmetic number, because the mean of its divisors is an integer number (486304).

Almost surely, 2^11057940 is an apocalyptic number.

11057940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11057940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17506944).

11057940 is an abundant number, since it is smaller than the sum of its proper divisors (23955948).

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

11057940 is a wasteful number, since it uses less digits than its factorization.

11057940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11057940 is about 3325.3481020789. The cubic root of 11057940 is about 222.7878024624.

It can be divided in two parts, 1105 and 7940, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 11057940 in words is "eleven million, fifty-seven thousand, nine hundred forty".