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130479336 = 2336131721
BaseRepresentation
bin1111100011011…
…11010011101000
3100002112001000000
413301233103220
5231400314321
620540343000
73143025141
oct761572350
9302461000
10130479336
116771a069
1237844a60
1321055a10
1413486ac8
15b6c5826
hex7c6f4e8

130479336 has 112 divisors (see below), whose sum is σ = 395250660. Its totient is φ = 40124160.

The previous prime is 130479319. The next prime is 130479337. The reversal of 130479336 is 633974031.

It can be written as a sum of positive squares in 2 ways, for example, as 129823236 + 656100 = 11394^2 + 810^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130479336.

It is not an unprimeable number, because it can be changed into a prime (130479337) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 74956 + ... + 76676.

Almost surely, 2130479336 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 130479336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197625330).

130479336 is an abundant number, since it is smaller than the sum of its proper divisors (264771324).

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

130479336 is a wasteful number, since it uses less digits than its factorization.

130479336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 130479336 is about 11422.7551842802. The cubic root of 130479336 is about 507.2015584577.

The spelling of 130479336 in words is "one hundred thirty million, four hundred seventy-nine thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1404 1458 1721 1944 2106 2808 2916 3159 3442 4212 5163 5832 6318 6884 8424 9477 10326 12636 13768 15489 18954 20652 22373 25272 30978 37908 41304 44746 46467 61956 67119 75816 89492 92934 123912 134238 139401 178984 185868 201357 268476 278802 371736 402714 418203 536952 557604 604071 805428 836406 1115208 1208142 1254609 1610856 1672812 1812213 2416284 2509218 3345624 3624426 4832568 5018436 5436639 7248852 10036872 10873278 14497704 16309917 21746556 32619834 43493112 65239668 130479336