211140 has 96 divisors (see below), whose sum is σ = 725760. Its totient is φ = 50688.
The previous prime is 211129. The next prime is 211151. The reversal of 211140 is 41112.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (211129) and next prime (211151).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is an unprimeable number.
211140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9169 + ... + 9191.
It is an arithmetic number, because the mean of its divisors is an integer number (7560).
2211140 is an apocalyptic number.
211140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is a pronic number, being equal to 459×460.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 211140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).
211140 is an abundant number, since it is smaller than the sum of its proper divisors (514620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211140 is a wasteful number, since it uses less digits than its factorization.
211140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 58 (or 50 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 211140 is about 459.4997279651. The cubic root of 211140 is about 59.5465821691.
Adding to 211140 its reverse (41112), we get a palindrome (252252).
It can be divided in two parts, 211 and 140, that added together give a triangular number (351 = T26).
The spelling of 211140 in words is "two hundred eleven thousand, one hundred forty", and thus it is an iban number.
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