1020152430 has 96 divisors (see below), whose sum is σ = 2993384160. Its totient is φ = 238775040.

The previous prime is 1020152411. The next prime is 1020152467. The reversal of 1020152430 is 342510201.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10944 + ... + 46476.

It is an arithmetic number, because the mean of its divisors is an integer number (31181085).

Almost surely, 2^1020152430 is an apocalyptic number.

1020152430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020152430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496692080).

1020152430 is an abundant number, since it is smaller than the sum of its proper divisors (1973231730).

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

1020152430 is a wasteful number, since it uses less digits than its factorization.

1020152430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35586 (or 35583 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1020152430 is about 31939.8251404105. The cubic root of 1020152430 is about 1006.6728506898.

Adding to 1020152430 its reverse (342510201), we get a palindrome (1362662631).

The spelling of 1020152430 in words is "one billion, twenty million, one hundred fifty-two thousand, four hundred thirty".