10242414 has 96 divisors (see below), whose sum is σ = 28217280. Its totient is φ = 2628288.

The previous prime is 10242391. The next prime is 10242437. The reversal of 10242414 is 41424201.

10242414 is a `hidden beast` number, since 10 + 242 + 414 = 666.

10242414 is digitally balanced in base 2, because in such base 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 (10242391) and next prime (10242437).

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

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, 276804 + ... + 276840.

It is an arithmetic number, because the mean of its divisors is an integer number (293930).

Almost surely, 2^10242414 is an apocalyptic number.

10242414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10242414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108640).

10242414 is an abundant number, since it is smaller than the sum of its proper divisors (17974866).

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

10242414 is a wasteful number, since it uses less digits than its factorization.

10242414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 10242414 is about 3200.3771652729. The cubic root of 10242414 is about 217.1704720601.

Adding to 10242414 its reverse (41424201), we get a palindrome (51666615).

The spelling of 10242414 in words is "ten million, two hundred forty-two thousand, four hundred fourteen".