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242918920 = 2356072973
BaseRepresentation
bin11100111101010…
…10011000001000
3121221002120010001
432132222120020
5444141401140
640034332344
76006530266
oct1636523010
9557076101
10242918920
11115137642
126942a0b4
133b43360a
1424395436
15164d5e9a
hexe7aa608

242918920 has 16 divisors (see below), whose sum is σ = 546567660. Its totient is φ = 97167552.

The previous prime is 242918909. The next prime is 242918953. The reversal of 242918920 is 29819242.

It can be written as a sum of positive squares in 2 ways, for example, as 221592996 + 21325924 = 14886^2 + 4618^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242918920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3036447 + ... + 3036526.

Almost surely, 2242918920 is an apocalyptic number.

242918920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242918920 is an abundant number, since it is smaller than the sum of its proper divisors (303648740).

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

242918920 is a wasteful number, since it uses less digits than its factorization.

242918920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6072984 (or 6072980 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 242918920 is about 15585.8564089369. The cubic root of 242918920 is about 623.9557345873.

The spelling of 242918920 in words is "two hundred forty-two million, nine hundred eighteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 6072973 12145946 24291892 30364865 48583784 60729730 121459460 242918920