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212704 = 2517223
BaseRepresentation
bin110011111011100000
3101210202221
4303323200
523301304
64320424
71544062
oct637340
9353687
10212704
11135898
12a3114
1375a7b
1457732
1543054
hex33ee0

212704 has 36 divisors (see below), whose sum is σ = 464184. Its totient is φ = 95744.

The previous prime is 212701. The next prime is 212777. The reversal of 212704 is 407212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212701) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9237 + ... + 9259.

It is an arithmetic number, because the mean of its divisors is an integer number (12894).

2212704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232092).

212704 is an abundant number, since it is smaller than the sum of its proper divisors (251480).

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

212704 is a wasteful number, since it uses less digits than its factorization.

212704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 212704 is about 461.1984388525. The cubic root of 212704 is about 59.6932492201.

Adding to 212704 its reverse (407212), we get a palindrome (619916).

The spelling of 212704 in words is "two hundred twelve thousand, seven hundred four", and thus it is an iban number.

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 289 368 391 544 578 736 782 1156 1564 2312 3128 4624 6256 6647 9248 12512 13294 26588 53176 106352 212704