1024138429 has 16 divisors (see below), whose sum is σ = 1117691568. Its totient is φ = 934474752.

The previous prime is 1024138403. The next prime is 1024138433. The reversal of 1024138429 is 9248314201.

It can be written as a sum of positive squares in 8 ways, for example, as 650760100 + 373378329 = 25510^2 + 19323^2 .

It is a cyclic number.

It is not a de Polignac number, because 1024138429 - 2²¹ = 1022041277 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1024138394 and 1024138403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024138459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181519 + ... + 187075.

It is an arithmetic number, because the mean of its divisors is an integer number (69855723).

Almost surely, 2^1024138429 is an apocalyptic number.

It is an amenable number.

1024138429 is a deficient number, since it is larger than the sum of its proper divisors (93553139).

1024138429 is a wasteful number, since it uses less digits than its factorization.

1024138429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5904.

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1024138429 is about 32002.1628800305. The cubic root of 1024138429 is about 1007.9822570389.

The spelling of 1024138429 in words is "one billion, twenty-four million, one hundred thirty-eight thousand, four hundred twenty-nine".