90293130 has 80 divisors (see below), whose sum is σ = 255610080. Its totient is φ = 22807008.

The previous prime is 90293123. The next prime is 90293179. The reversal of 90293130 is 3139209.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 90293094 and 90293103.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12457 + ... + 18323.

It is an arithmetic number, because the mean of its divisors is an integer number (3195126).

Almost surely, 2^90293130 is an apocalyptic number.

90293130 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90293130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127805040).

90293130 is an abundant number, since it is smaller than the sum of its proper divisors (165316950).

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

90293130 is a wasteful number, since it uses less digits than its factorization.

90293130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 90293130 is about 9502.2697288595. The cubic root of 90293130 is about 448.6264785741.

The spelling of 90293130 in words is "ninety million, two hundred ninety-three thousand, one hundred thirty".