Search a number
-
+
426131130 = 23553833229
BaseRepresentation
bin11001011001100…
…011111010111010
31002200211201000110
4121121203322322
51333042144010
6110141245150
713363024545
oct3131437272
91080751013
10426131130
111a95a3697
12ba8637b6
136a3905c9
144084785c
1527626120
hex19663eba

426131130 has 64 divisors (see below), whose sum is σ = 1054892160. Its totient is φ = 110113536.

The previous prime is 426131119. The next prime is 426131141. The reversal of 426131130 is 31131624.

It is an interprime number because it is at equal distance from previous prime (426131119) and next prime (426131141).

It is a junction number, because it is equal to n+sod(n) for n = 426131097 and 426131106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130356 + ... + 133584.

It is an arithmetic number, because the mean of its divisors is an integer number (16482690).

Almost surely, 2426131130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426131130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527446080).

426131130 is an abundant number, since it is smaller than the sum of its proper divisors (628761030).

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

426131130 is a wasteful number, since it uses less digits than its factorization.

426131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 426131130 is about 20642.9438307621. The cubic root of 426131130 is about 752.5137166699.

Adding to 426131130 its reverse (31131624), we get a palindrome (457262754).

The spelling of 426131130 in words is "four hundred twenty-six million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 83 106 159 166 249 265 318 415 498 530 795 830 1245 1590 2490 3229 4399 6458 8798 9687 13197 16145 19374 21995 26394 32290 43990 48435 65985 96870 131970 171137 268007 342274 513411 536014 804021 855685 1026822 1340035 1608042 1711370 2567055 2680070 4020105 5134110 8040210 14204371 28408742 42613113 71021855 85226226 142043710 213065565 426131130