205693140 has 48 divisors (see below), whose sum is σ = 600985728. Its totient is φ = 52466304.

The previous prime is 205693133. The next prime is 205693141. The reversal of 205693140 is 41396502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 205693098 and 205693107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205693141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73147 + ... + 75906.

It is an arithmetic number, because the mean of its divisors is an integer number (12520536).

Almost surely, 2^205693140 is an apocalyptic number.

205693140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205693140 is an abundant number, since it is smaller than the sum of its proper divisors (395292588).

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

205693140 is a wasteful number, since it uses less digits than its factorization.

205693140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149088 (or 149086 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 205693140 is about 14342.0061358235. The cubic root of 205693140 is about 590.3006607013.

The spelling of 205693140 in words is "two hundred five million, six hundred ninety-three thousand, one hundred forty".