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242302060 = 225731113219
BaseRepresentation
bin11100111000100…
…11110001101100
3121212221012221101
432130103301230
5444012131220
640013212444
76001351000
oct1634236154
9555835841
10242302060
11114856140
1269191124
133b278900
1424274700
151641330a
hexe713c6c

242302060 has 288 divisors, whose sum is σ = 737856000. Its totient is φ = 66044160.

The previous prime is 242302057. The next prime is 242302063. The reversal of 242302060 is 60203242.

It is an interprime number because it is at equal distance from previous prime (242302057) and next prime (242302063).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (242302063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12752731 + ... + 12752749.

It is an arithmetic number, because the mean of its divisors is an integer number (2562000).

Almost surely, 2242302060 is an apocalyptic number.

242302060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242302060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368928000).

242302060 is an abundant number, since it is smaller than the sum of its proper divisors (495553940).

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

242302060 is a wasteful number, since it uses less digits than its factorization.

242302060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 242302060 is about 15566.0547345819. The cubic root of 242302060 is about 623.4271362800.

The spelling of 242302060 in words is "two hundred forty-two million, three hundred two thousand, sixty".