10254024 has 96 divisors (see below), whose sum is σ = 30831840. Its totient is φ = 3078240.

The previous prime is 10254019. The next prime is 10254029. The reversal of 10254024 is 42045201.

10254024 is a `hidden beast` number, since 102 + 540 + 24 = 666.

10254024 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 (10254019) and next prime (10254029).

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

It is a junction number, because it is equal to n+sod(n) for n = 10253988 and 10254006.

It is not an unprimeable number, because it can be changed into a prime (10254029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95779 + ... + 95885.

It is an arithmetic number, because the mean of its divisors is an integer number (321165).

Almost surely, 2^10254024 is an apocalyptic number.

10254024 is the 1712-nd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10254024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15415920).

10254024 is an abundant number, since it is smaller than the sum of its proper divisors (20577816).

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

10254024 is a wasteful number, since it uses less digits than its factorization.

10254024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 123 counting only the distinct ones).

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

The square root of 10254024 is about 3202.1905002670. The cubic root of 10254024 is about 217.2524969002.

Adding to 10254024 its reverse (42045201), we get a palindrome (52299225).

The spelling of 10254024 in words is "ten million, two hundred fifty-four thousand, twenty-four".