Search a number
-
+
424116030 = 235136716231
BaseRepresentation
bin11001010001110…
…111111100111110
31002120001022211010
4121101313330332
51332033203110
6110030140050
713336632612
oct3121677476
91076038733
10424116030
111a8447718
12ba051626
1369b36340
1440481342
1527379020
hex19477f3e

424116030 has 64 divisors (see below), whose sum is σ = 1112606208. Its totient is φ = 102833280.

The previous prime is 424116029. The next prime is 424116031. The reversal of 424116030 is 30611424.

It is an interprime number because it is at equal distance from previous prime (424116029) and next prime (424116031).

It is a junction number, because it is equal to n+sod(n) for n = 424115988 and 424116006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424116031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18015 + ... + 34245.

It is an arithmetic number, because the mean of its divisors is an integer number (17384472).

Almost surely, 2424116030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424116030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556303104).

424116030 is an abundant number, since it is smaller than the sum of its proper divisors (688490178).

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

424116030 is a wasteful number, since it uses less digits than its factorization.

424116030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16321.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 424116030 is about 20594.0775467123. The cubic root of 424116030 is about 751.3256731847.

Adding to 424116030 its reverse (30611424), we get a palindrome (454727454).

The spelling of 424116030 in words is "four hundred twenty-four million, one hundred sixteen thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 67 78 130 134 195 201 335 390 402 670 871 1005 1742 2010 2613 4355 5226 8710 13065 16231 26130 32462 48693 81155 97386 162310 211003 243465 422006 486930 633009 1055015 1087477 1266018 2110030 2174954 3165045 3262431 5437385 6330090 6524862 10874770 14137201 16312155 28274402 32624310 42411603 70686005 84823206 141372010 212058015 424116030