Search a number
-
+
130458204 = 223217593613
BaseRepresentation
bin1111100011010…
…10001001011100
3100002110222000100
413301222021130
5231344130304
620540101100
73142606422
oct761521134
9302428010
10130458204
11677051a8
1237834790
1321049206
141347d112
15b6be439
hex7c6a25c

130458204 has 72 divisors (see below), whose sum is σ = 355183920. Its totient is φ = 40223232.

The previous prime is 130458193. The next prime is 130458233. The reversal of 130458204 is 402854031.

130458204 is a `hidden beast` number, since 1 + 3 + 0 + 458 + 204 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34302 + ... + 37914.

It is an arithmetic number, because the mean of its divisors is an integer number (4933110).

Almost surely, 2130458204 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 130458204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177591960).

130458204 is an abundant number, since it is smaller than the sum of its proper divisors (224725716).

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

130458204 is a wasteful number, since it uses less digits than its factorization.

130458204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 130458204 is about 11421.8301510747. The cubic root of 130458204 is about 507.1741754192.

The spelling of 130458204 in words is "one hundred thirty million, four hundred fifty-eight thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 59 68 102 118 153 177 204 236 306 354 531 612 708 1003 1062 2006 2124 3009 3613 4012 6018 7226 9027 10839 12036 14452 18054 21678 32517 36108 43356 61421 65034 122842 130068 184263 213167 245684 368526 426334 552789 639501 737052 852668 1105578 1279002 1918503 2211156 2558004 3623839 3837006 7247678 7674012 10871517 14495356 21743034 32614551 43486068 65229102 130458204