Search a number
-
+
530104432 = 241113443523
BaseRepresentation
bin11111100110001…
…100000001110000
31100221111002120111
4133212030001300
52041201320212
6124333551104
716064545654
oct3746140160
91327432514
10530104432
11252259340
12129645494
1385a95780
1450590a64
1531812ea7
hex1f98c070

530104432 has 80 divisors (see below), whose sum is σ = 1211672448. Its totient is φ = 221495040.

The previous prime is 530104423. The next prime is 530104451. The reversal of 530104432 is 234401035.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1013323 + ... + 1013845.

Almost surely, 2530104432 is an apocalyptic number.

530104432 is a gapful number since it is divisible by the number (52) 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 530104432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605836224).

530104432 is an abundant number, since it is smaller than the sum of its proper divisors (681568016).

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

530104432 is a wasteful number, since it uses less digits than its factorization.

530104432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 530104432 is about 23023.9968728281. The cubic root of 530104432 is about 809.3203830450.

Adding to 530104432 its reverse (234401035), we get a palindrome (764505467).

The spelling of 530104432 in words is "five hundred thirty million, one hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 443 523 572 886 1046 1144 1772 2092 2288 3544 4184 4873 5753 5759 6799 7088 8368 9746 11506 11518 13598 19492 23012 23036 27196 38984 46024 46072 54392 63349 74789 77968 92048 92144 108784 126698 149578 231689 253396 299156 463378 506792 598312 926756 1013584 1196624 1853512 2548579 3011957 3707024 5097158 6023914 10194316 12047828 20388632 24095656 33131527 40777264 48191312 66263054 132526108 265052216 530104432