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212660 = 2257331
BaseRepresentation
bin110011111010110100
3101210201022
4303322310
523301120
64320312
71544000
oct637264
9353638
10212660
11135858
12a3098
1375a46
1457700
1543025
hex33eb4

212660 has 48 divisors (see below), whose sum is σ = 537600. Its totient is φ = 70560.

The previous prime is 212651. The next prime is 212669. The reversal of 212660 is 66212.

Adding to 212660 its reverse (66212), we get a palindrome (278872).

212660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212651) and next prime (212669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212669) by changing a digit.

212660 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 6845 + ... + 6875.

It is an arithmetic number, because the mean of its divisors is an integer number (11200).

2212660 is an apocalyptic number.

212660 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 212660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268800).

212660 is an abundant number, since it is smaller than the sum of its proper divisors (324940).

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

212660 is a wasteful number, since it uses less digits than its factorization.

212660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 212660 is about 461.1507345760. The cubic root of 212660 is about 59.6891328830.

The spelling of 212660 in words is "two hundred twelve thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 343 434 490 620 686 868 980 1085 1372 1519 1715 2170 3038 3430 4340 6076 6860 7595 10633 15190 21266 30380 42532 53165 106330 212660