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242610030 = 232513316689
BaseRepresentation
bin11100111010111…
…10111101101110
3121220111212101200
432131132331232
5444102010110
640023550330
76004102605
oct1635367556
9556455350
10242610030
11114a46563
12692bb3a6
133b355b40
1424314a3c
15164746c0
hexe75ef6e

242610030 has 96 divisors (see below), whose sum is σ = 701326080. Its totient is φ = 57784320.

The previous prime is 242610029. The next prime is 242610037. The reversal of 242610030 is 30016242.

It is a happy number.

242610030 is a `hidden beast` number, since 24 + 2 + 610 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 242609985 and 242610012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242610037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32926 + ... + 39614.

It is an arithmetic number, because the mean of its divisors is an integer number (7305480).

Almost surely, 2242610030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242610030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350663040).

242610030 is an abundant number, since it is smaller than the sum of its proper divisors (458716050).

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

242610030 is a wasteful number, since it uses less digits than its factorization.

242610030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6746 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 242610030 is about 15575.9439521334. The cubic root of 242610030 is about 623.6911532523.

Adding to 242610030 its reverse (30016242), we get a palindrome (272626272).

The spelling of 242610030 in words is "two hundred forty-two million, six hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 1170 1209 1395 2015 2418 2790 3627 4030 6045 6689 7254 12090 13378 18135 20067 33445 36270 40134 60201 66890 86957 100335 120402 173914 200670 207359 260871 301005 414718 434785 521742 602010 622077 782613 869570 1036795 1244154 1304355 1565226 1866231 2073590 2608710 2695667 3110385 3732462 3913065 5391334 6220770 7826130 8087001 9331155 13478335 16174002 18662310 24261003 26956670 40435005 48522006 80870010 121305015 242610030