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211380 = 223513271
BaseRepresentation
bin110011100110110100
3101201221220
4303212310
523231010
64310340
71540161
oct634664
9351856
10211380
111348a4
12a23b0
13752a0
1457068
1542970
hex339b4

211380 has 48 divisors (see below), whose sum is σ = 639744. Its totient is φ = 51840.

The previous prime is 211373. The next prime is 211403. The reversal of 211380 is 83112.

It is a happy number.

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.

211380 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 15 ways as a sum of consecutive naturals, for example, 645 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (13328).

2211380 is an apocalyptic number.

211380 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 211380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319872).

211380 is an abundant number, since it is smaller than the sum of its proper divisors (428364).

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

211380 is a wasteful number, since it uses less digits than its factorization.

211380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 211380 is about 459.7608073771. The cubic root of 211380 is about 59.5691355590.

Adding to 211380 its reverse (83112), we get a palindrome (294492).

The spelling of 211380 in words is "two hundred eleven thousand, three hundred eighty".