210007140 has 144 divisors (see below), whose sum is σ = 695830464. Its totient is φ = 47174400.

The previous prime is 210007129. The next prime is 210007157. The reversal of 210007140 is 41700012.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178755 + ... + 179925.

It is an arithmetic number, because the mean of its divisors is an integer number (4832156).

Almost surely, 2^210007140 is an apocalyptic number.

210007140 is a gapful number since it is divisible by the number (20) 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 210007140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347915232).

210007140 is an abundant number, since it is smaller than the sum of its proper divisors (485823324).

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

210007140 is a wasteful number, since it uses less digits than its factorization.

210007140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 210007140 is about 14491.6230975002. The cubic root of 210007140 is about 594.3989316448.

Adding to 210007140 its reverse (41700012), we get a palindrome (251707152).

The spelling of 210007140 in words is "two hundred ten million, seven thousand, one hundred forty".