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242407660 = 225111397927
BaseRepresentation
bin11100111001011…
…01100011101100
3121220010120210111
432130231203230
5444024021120
640015345404
76002300605
oct1634554354
9556116714
10242407660
11114918510
1269222264
133b2b49b1
14242a0dac
151643475a
hexe72d8ec

242407660 has 48 divisors (see below), whose sum is σ = 559399680. Its totient is φ = 87503040.

The previous prime is 242407651. The next prime is 242407661. The reversal of 242407660 is 66704242.

It is a super-2 number, since 2×2424076602 = 117522947253351200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242407661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26617 + ... + 34543.

It is an arithmetic number, because the mean of its divisors is an integer number (11654160).

Almost surely, 2242407660 is an apocalyptic number.

242407660 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 242407660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279699840).

242407660 is an abundant number, since it is smaller than the sum of its proper divisors (316992020).

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

242407660 is a wasteful number, since it uses less digits than its factorization.

242407660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8086 (or 8084 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 242407660 is about 15569.4463613836. The cubic root of 242407660 is about 623.5176903925.

The spelling of 242407660 in words is "two hundred forty-two million, four hundred seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 139 220 278 556 695 1390 1529 2780 3058 6116 7645 7927 15290 15854 30580 31708 39635 79270 87197 158540 174394 348788 435985 871970 1101853 1743940 2203706 4407412 5509265 11018530 12120383 22037060 24240766 48481532 60601915 121203830 242407660