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242056260 = 223256720071
BaseRepresentation
bin11100110110101…
…11110001000100
3121212110201202200
432123113301010
5443431300020
640004034500
75666305245
oct1633276104
9555421680
10242056260
111146a84a6
1269092a30
133b1c0a74
142420cccc
15163b5590
hexe6d7c44

242056260 has 72 divisors (see below), whose sum is σ = 745233216. Its totient is φ = 63581760.

The previous prime is 242056249. The next prime is 242056267. The reversal of 242056260 is 62650242.

242056260 is a `hidden beast` number, since 2 + 42 + 0 + 562 + 60 = 666.

It is not an unprimeable number, because it can be changed into a prime (242056267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2025 + ... + 22095.

Almost surely, 2242056260 is an apocalyptic number.

242056260 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 242056260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372616608).

242056260 is an abundant number, since it is smaller than the sum of its proper divisors (503176956).

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

242056260 is a wasteful number, since it uses less digits than its factorization.

242056260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20153 (or 20148 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 242056260 is about 15558.1573459070. The cubic root of 242056260 is about 623.2162559210.

The spelling of 242056260 in words is "two hundred forty-two million, fifty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060 20071 40142 60213 80284 100355 120426 180639 200710 240852 301065 361278 401420 602130 722556 903195 1204260 1344757 1806390 2689514 3612780 4034271 5379028 6723785 8068542 12102813 13447570 16137084 20171355 24205626 26895140 40342710 48411252 60514065 80685420 121028130 242056260