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242064 = 2432412
BaseRepresentation
bin111011000110010000
3110022001100
4323012100
530221224
65104400
72025504
oct730620
9408040
10242064
11155959
12b8100
1386244
1464304
154bac9
hex3b190

242064 has 45 divisors (see below), whose sum is σ = 694369. Its totient is φ = 78720.

The previous prime is 242059. The next prime is 242069. The reversal of 242064 is 460242.

242064 = T491 + T492.

The square root of 242064 is 492.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (242059) and next prime (242069).

It can be written as a sum of positive squares in only one way, i.e., 11664 + 230400 = 108^2 + 480^2 .

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

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242064.

It is not an unprimeable number, because it can be changed into a prime (242069) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5884 + ... + 5924.

242064 is a Friedman number, since it can be written as 246^(2+0)*4, using all its digits and the basic arithmetic operations.

2242064 is an apocalyptic number.

242064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

242064 is the 492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242064

242064 is an abundant number, since it is smaller than the sum of its proper divisors (452305).

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

242064 is a wasteful number, since it uses less digits than its factorization.

242064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The cubic root of 242064 is about 62.3222898512.

The spelling of 242064 in words is "two hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1681 1968 2952 3362 5043 5904 6724 10086 13448 15129 20172 26896 30258 40344 60516 80688 121032 242064