1993140900 has 216 divisors, whose sum is σ = 6613326720. Its totient is φ = 501050880.

The previous prime is 1993140899. The next prime is 1993140917. The reversal of 1993140900 is 90413991.

It is a super-2 number, since 2×1993140900² = 7945221294505620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 1510441 + ... + 1511759.

Almost surely, 2^1993140900 is an apocalyptic number.

1993140900 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 1993140900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306663360).

1993140900 is an abundant number, since it is smaller than the sum of its proper divisors (4620185820).

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

1993140900 is a wasteful number, since it uses less digits than its factorization.

1993140900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1993140900 is about 44644.6066171492. The cubic root of 1993140900 is about 1258.4790794543.

The spelling of 1993140900 in words is "one billion, nine hundred ninety-three million, one hundred forty thousand, nine hundred".