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242392960 = 275378739
BaseRepresentation
bin11100111001010…
…01111110000000
3121220002211122001
432130221332000
5444023033320
640015153344
76002210005
oct1634517600
9556084561
10242392960
11114908467
1269215854
133b2ab0b4
14242998ac
151643020a
hexe729f80

242392960 has 32 divisors (see below), whose sum is σ = 579472200. Its totient is φ = 96956928.

The previous prime is 242392949. The next prime is 242392961. The reversal of 242392960 is 69293242.

242392960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242392961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188730 + ... + 190009.

Almost surely, 2242392960 is an apocalyptic number.

242392960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242392960 is an abundant number, since it is smaller than the sum of its proper divisors (337079240).

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

242392960 is an equidigital number, since it uses as much as digits as its factorization.

242392960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378758 (or 378746 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 242392960 is about 15568.9742757832. The cubic root of 242392960 is about 623.5050864242.

The spelling of 242392960 in words is "two hundred forty-two million, three hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 378739 757478 1514956 1893695 3029912 3787390 6059824 7574780 12119648 15149560 24239296 30299120 48478592 60598240 121196480 242392960