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242490 = 23559137
BaseRepresentation
bin111011001100111010
3110022122010
4323030322
530224430
65110350
72026653
oct731472
9408563
10242490
11156206
12b83b6
13864b1
146452a
154bcb0
hex3b33a

242490 has 32 divisors (see below), whose sum is σ = 596160. Its totient is φ = 63104.

The previous prime is 242483. The next prime is 242491. The reversal of 242490 is 94242.

242490 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242491) by changing a digit.

242490 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, 1702 + ... + 1838.

It is an arithmetic number, because the mean of its divisors is an integer number (18630).

2242490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298080).

242490 is an abundant number, since it is smaller than the sum of its proper divisors (353670).

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

242490 is a wasteful number, since it uses less digits than its factorization.

242490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206.

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

The square root of 242490 is about 492.4327365235. The cubic root of 242490 is about 62.3588280344.

The spelling of 242490 in words is "two hundred forty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 59 118 137 177 274 295 354 411 590 685 822 885 1370 1770 2055 4110 8083 16166 24249 40415 48498 80830 121245 242490