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242405124 = 223131639533
BaseRepresentation
bin11100111001011…
…00111100000100
3121220010110022120
432130230330010
5444023430444
640015325540
76002260323
oct1634547404
9556113276
10242405124
11114916615
12692208b0
133b2b37b0
14242a00ba
1516433b19
hexe72cf04

242405124 has 48 divisors (see below), whose sum is σ = 612921792. Its totient is φ = 74120832.

The previous prime is 242405123. The next prime is 242405131. The reversal of 242405124 is 421504242.

It is a happy number.

242405124 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242405094 and 242405103.

It is not an unprimeable number, because it can be changed into a prime (242405123) 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, 20662 + ... + 30194.

It is an arithmetic number, because the mean of its divisors is an integer number (12769204).

Almost surely, 2242405124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242405124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306460896).

242405124 is an abundant number, since it is smaller than the sum of its proper divisors (370516668).

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

242405124 is a wasteful number, since it uses less digits than its factorization.

242405124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9716 (or 9714 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 242405124 is about 15569.3649196106. The cubic root of 242405124 is about 623.5155160300.

Adding to 242405124 its reverse (421504242), we get a palindrome (663909366).

The spelling of 242405124 in words is "two hundred forty-two million, four hundred five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 163 326 489 652 978 1956 2119 4238 6357 8476 9533 12714 19066 25428 28599 38132 57198 114396 123929 247858 371787 495716 743574 1487148 1553879 3107758 4661637 6215516 9323274 18646548 20200427 40400854 60601281 80801708 121202562 242405124