10242540 has 144 divisors (see below), whose sum is σ = 38787840. Its totient is φ = 2125440.

The previous prime is 10242527. The next prime is 10242553. The reversal of 10242540 is 4524201.

10242540 = T₂₈₅ + T₂₈₆ + ... + T₄₃₈.

10242540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10242527) and next prime (10242553).

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

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, 13491 + ... + 14229.

It is an arithmetic number, because the mean of its divisors is an integer number (269360).

Almost surely, 2^10242540 is an apocalyptic number.

10242540 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 10242540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393920).

10242540 is an abundant number, since it is smaller than the sum of its proper divisors (28545300).

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

10242540 is a wasteful number, since it uses less digits than its factorization.

10242540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10242540 is about 3200.3968503922. The cubic root of 10242540 is about 217.1713625848.

Adding to 10242540 its reverse (4524201), we get a palindrome (14766741).

The spelling of 10242540 in words is "ten million, two hundred forty-two thousand, five hundred forty".