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212742 = 23253223
BaseRepresentation
bin110011111100000110
3101210211100
4303330012
523301432
64320530
71544145
oct637406
9353740
10212742
11135922
12a3146
1375aaa
145775c
154307c
hex33f06

212742 has 24 divisors (see below), whose sum is σ = 471744. Its totient is φ = 69264.

The previous prime is 212701. The next prime is 212777. The reversal of 212742 is 247212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

212742 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 11 ways as a sum of consecutive naturals, for example, 843 + ... + 1065.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2212742 is an apocalyptic number.

212742 is an abundant number, since it is smaller than the sum of its proper divisors (259002).

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

212742 is a wasteful number, since it uses less digits than its factorization.

212742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 281 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 212742 is about 461.2396340299. The cubic root of 212742 is about 59.6968037816.

Adding to 212742 its reverse (247212), we get a palindrome (459954).

The spelling of 212742 in words is "two hundred twelve thousand, seven hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 53 106 159 223 318 446 477 669 954 1338 2007 4014 11819 23638 35457 70914 106371 212742