213512940 has 72 divisors (see below), whose sum is σ = 665180880. Its totient is φ = 55396224.

The previous prime is 213512939. The next prime is 213512947. The reversal of 213512940 is 49215312.

213512940 is a `hidden beast` number, since 21 + 351 + 294 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (213512947) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9370 + ... + 22689.

Almost surely, 2^213512940 is an apocalyptic number.

213512940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213512940 is an abundant number, since it is smaller than the sum of its proper divisors (451667940).

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

213512940 is a wasteful number, since it uses less digits than its factorization.

213512940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32111 (or 32106 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 213512940 is about 14612.0819871776. The cubic root of 213512940 is about 597.6882712896.

Subtracting from 213512940 its product of nonzero digits (2160), we obtain a triangular number (213510780 = T₂₀₆₆₄).

The spelling of 213512940 in words is "two hundred thirteen million, five hundred twelve thousand, nine hundred forty".