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242310560 = 2551514441
BaseRepresentation
bin11100111000101…
…01110110100000
3121212221122121012
432130111312200
5444012414220
640013320052
76001414532
oct1634256640
9555848535
10242310560
11114861568
1269196028
133b27c73b
1424277852
1516415ac5
hexe715da0

242310560 has 24 divisors (see below), whose sum is σ = 572459076. Its totient is φ = 96924160.

The previous prime is 242310557. The next prime is 242310577. The reversal of 242310560 is 65013242.

242310560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 201299344 + 41011216 = 14188^2 + 6404^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 757061 + ... + 757380.

Almost surely, 2242310560 is an apocalyptic number.

242310560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242310560 is an abundant number, since it is smaller than the sum of its proper divisors (330148516).

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

242310560 is a wasteful number, since it uses less digits than its factorization.

242310560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514456 (or 1514448 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 242310560 is about 15566.3277621923. The cubic root of 242310560 is about 623.4344261735.

The spelling of 242310560 in words is "two hundred forty-two million, three hundred ten thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1514441 3028882 6057764 7572205 12115528 15144410 24231056 30288820 48462112 60577640 121155280 242310560