10140024 has 64 divisors (see below), whose sum is σ = 27799200. Its totient is φ = 3067904.

The previous prime is 10140019. The next prime is 10140029. The reversal of 10140024 is 42004101.

It is an interprime number because it is at equal distance from previous prime (10140019) and next prime (10140029).

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

It is a junction number, because it is equal to n+sod(n) for n = 10139991 and 10140009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140029) 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 15 ways as a sum of consecutive naturals, for example, 11404 + ... + 12260.

Almost surely, 2^10140024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13899600).

10140024 is an abundant number, since it is smaller than the sum of its proper divisors (17659176).

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

10140024 is a wasteful number, since it uses less digits than its factorization.

10140024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10140024 is about 3184.3404340617. The cubic root of 10140024 is about 216.4443868983. Note that the first 3 decimals are identical.

Adding to 10140024 its reverse (42004101), we get a palindrome (52144125).

It can be divided in two parts, 101400 and 24, that multiplied together give a square (2433600 = 1560²).

The spelling of 10140024 in words is "ten million, one hundred forty thousand, twenty-four".