10011540 has 144 divisors (see below), whose sum is σ = 35392896. Its totient is φ = 2069760.

The previous prime is 10011539. The next prime is 10011557. The reversal of 10011540 is 4511001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50722 + ... + 50918.

It is an arithmetic number, because the mean of its divisors is an integer number (245784).

Almost surely, 2^10011540 is an apocalyptic number.

10011540 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 10011540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696448).

10011540 is an abundant number, since it is smaller than the sum of its proper divisors (25381356).

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

10011540 is a wasteful number, since it uses less digits than its factorization.

10011540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 10011540 is about 3164.1017682748. The cubic root of 10011540 is about 215.5263110659.

Adding to 10011540 its reverse (4511001), we get a palindrome (14522541).

The spelling of 10011540 in words is "ten million, eleven thousand, five hundred forty".