11257540 has 48 divisors (see below), whose sum is σ = 27224064. Its totient is φ = 3830400.

The previous prime is 11257537. The next prime is 11257573. The reversal of 11257540 is 4575211.

11257540 = 44² + 45² + ... + 323².

11257540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26530 + ... + 26950.

It is an arithmetic number, because the mean of its divisors is an integer number (567168).

Almost surely, 2^11257540 is an apocalyptic number.

11257540 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 11257540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13612032).

11257540 is an abundant number, since it is smaller than the sum of its proper divisors (15966524).

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

11257540 is a wasteful number, since it uses less digits than its factorization.

11257540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 11257540 is about 3355.2257748175. The cubic root of 11257540 is about 224.1202850993.

The spelling of 11257540 in words is "eleven million, two hundred fifty-seven thousand, five hundred forty".