10152540 has 72 divisors (see below), whose sum is σ = 31951920. Its totient is φ = 2706048.

The previous prime is 10152539. The next prime is 10152547. The reversal of 10152540 is 4525101.

10152540 is a `hidden beast` number, since 101 + 525 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10152547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3816 + ... + 5904.

Almost surely, 2^10152540 is an apocalyptic number.

10152540 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 10152540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15975960).

10152540 is an abundant number, since it is smaller than the sum of its proper divisors (21799380).

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

10152540 is a wasteful number, since it uses less digits than its factorization.

10152540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 10152540 is about 3186.3050701400. The cubic root of 10152540 is about 216.5334039169.

Adding to 10152540 its reverse (4525101), we get a palindrome (14677641).

The spelling of 10152540 in words is "ten million, one hundred fifty-two thousand, five hundred forty".