1020142320 has 160 divisors (see below), whose sum is σ = 3316287744. Its totient is φ = 259123200.

The previous prime is 1020142303. The next prime is 1020142339. The reversal of 1020142320 is 232410201.

1020142320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020142320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421915 + ... + 424325.

Almost surely, 2^1020142320 is an apocalyptic number.

1020142320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658143872).

1020142320 is an abundant number, since it is smaller than the sum of its proper divisors (2296145424).

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

1020142320 is a wasteful number, since it uses less digits than its factorization.

1020142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1020142320 is about 31939.6668736541. Note that the first 3 decimals coincide. The cubic root of 1020142320 is about 1006.6695252076.

Adding to 1020142320 its reverse (232410201), we get a palindrome (1252552521).

The spelling of 1020142320 in words is "one billion, twenty million, one hundred forty-two thousand, three hundred twenty".