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242616 = 23311919
BaseRepresentation
bin111011001110111000
3110022210210
4323032320
530230431
65111120
72030223
oct731670
9408723
10242616
11156310
12b84a0
138657a
14645ba
154bd46
hex3b3b8

242616 has 32 divisors (see below), whose sum is σ = 662400. Its totient is φ = 73440.

The previous prime is 242603. The next prime is 242617. The reversal of 242616 is 616242.

It is a happy number.

242616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242592 and 242601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242617) by changing a digit.

242616 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 7 ways as a sum of consecutive naturals, for example, 196 + ... + 723.

It is an arithmetic number, because the mean of its divisors is an integer number (20700).

2242616 is an apocalyptic number.

It is an amenable number.

242616 is an abundant number, since it is smaller than the sum of its proper divisors (419784).

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

242616 is a wasteful number, since it uses less digits than its factorization.

242616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 935 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 242616 is about 492.5606561633. The cubic root of 242616 is about 62.3696269014.

Adding to 242616 its reverse (616242), we get a palindrome (858858).

It can be divided in two parts, 2426 and 16, that added together give a palindrome (2442).

The spelling of 242616 in words is "two hundred forty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 919 1838 2757 3676 5514 7352 10109 11028 20218 22056 30327 40436 60654 80872 121308 242616