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242026640 = 2459731189
BaseRepresentation
bin11100110110100…
…00100010010000
3121212102020010122
432123100202100
5443424323030
640003245412
75666123012
oct1633204220
9555366118
10242026640
11114688219
1269079868
133b1b043b
14242021b2
15163ab8e5
hexe6d0890

242026640 has 40 divisors (see below), whose sum is σ = 568531320. Its totient is φ = 95809536.

The previous prime is 242026639. The next prime is 242026643. The reversal of 242026640 is 46620242.

It can be written as a sum of positive squares in 4 ways, for example, as 659344 + 241367296 = 812^2 + 15536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (242026643) by changing a digit.

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, 7835 + ... + 23354.

It is an arithmetic number, because the mean of its divisors is an integer number (14213283).

Almost surely, 2242026640 is an apocalyptic number.

242026640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242026640 is an abundant number, since it is smaller than the sum of its proper divisors (326504680).

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

242026640 is a wasteful number, since it uses less digits than its factorization.

242026640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31299 (or 31293 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 242026640 is about 15557.2054045706. The cubic root of 242026640 is about 623.1908342573.

Adding to 242026640 its reverse (46620242), we get a palindrome (288646882).

The spelling of 242026640 in words is "two hundred forty-two million, twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 31189 62378 124756 155945 249512 311890 499024 623780 1247560 2495120 3025333 6050666 12101332 15126665 24202664 30253330 48405328 60506660 121013320 242026640