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130504524 = 223294779101
BaseRepresentation
bin1111100011101…
…01011101001100
3100002120022112220
413301311131030
5231402121044
620541055340
73143161443
oct761653514
9302508486
10130504524
1167736a87
1237857550
1321064317
1413491d5a
15b6cd019
hex7c7574c

130504524 has 96 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 40185600.

The previous prime is 130504511. The next prime is 130504531. The reversal of 130504524 is 425405031.

It is a junction number, because it is equal to n+sod(n) for n = 130504494 and 130504503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1292074 + ... + 1292174.

It is an arithmetic number, because the mean of its divisors is an integer number (3427200).

Almost surely, 2130504524 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 130504524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

130504524 is an abundant number, since it is smaller than the sum of its proper divisors (198506676).

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

130504524 is a wasteful number, since it uses less digits than its factorization.

130504524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 130504524 is about 11423.8576671806. The cubic root of 130504524 is about 507.2341934359.

Adding to 130504524 its reverse (425405031), we get a palindrome (555909555).

The spelling of 130504524 in words is "one hundred thirty million, five hundred four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 47 58 79 87 94 101 116 141 158 174 188 202 237 282 303 316 348 404 474 564 606 948 1212 1363 2291 2726 2929 3713 4089 4582 4747 5452 5858 6873 7426 7979 8178 8787 9164 9494 11139 11716 13746 14241 14852 15958 16356 17574 18988 22278 23937 27492 28482 31916 35148 44556 47874 56964 95748 107677 137663 215354 231391 275326 323031 375013 412989 430708 462782 550652 646062 694173 750026 825978 925564 1125039 1292124 1388346 1500052 1651956 2250078 2776692 4500156 10875377 21750754 32626131 43501508 65252262 130504524