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242258060 = 2251110310691
BaseRepresentation
bin11100111000010…
…01000010001100
3121212211222120202
432130021002030
5444004224220
640012233032
76001105502
oct1634110214
9555758522
10242258060
11114826080
126916b778
133b261885
1424262672
1516405275
hexe70908c

242258060 has 48 divisors (see below), whose sum is σ = 560431872. Its totient is φ = 87230400.

The previous prime is 242258047. The next prime is 242258077. The reversal of 242258060 is 60852242.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17315 + ... + 28005.

It is an arithmetic number, because the mean of its divisors is an integer number (11675664).

Almost surely, 2242258060 is an apocalyptic number.

242258060 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 242258060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280215936).

242258060 is an abundant number, since it is smaller than the sum of its proper divisors (318173812).

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

242258060 is a wasteful number, since it uses less digits than its factorization.

242258060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10814 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 242258060 is about 15564.6413386239. The cubic root of 242258060 is about 623.3893976346.

The spelling of 242258060 in words is "two hundred forty-two million, two hundred fifty-eight thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 2060 2266 4532 5665 10691 11330 21382 22660 42764 53455 106910 117601 213820 235202 470404 588005 1101173 1176010 2202346 2352020 4404692 5505865 11011730 12112903 22023460 24225806 48451612 60564515 121129030 242258060