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130560318 = 232741127199
BaseRepresentation
bin1111100100000…
…11000100111110
3100002200011002100
413302003010332
5231410412233
620542205530
73143513220
oct762030476
9302604070
10130560318
1167774999
12378838a6
1321083835
14134a8410
15b6de813
hex7c8313e

130560318 has 96 divisors (see below), whose sum is σ = 335462400. Its totient is φ = 35925120.

The previous prime is 130560307. The next prime is 130560319. The reversal of 130560318 is 813065031.

It is a super-2 number, since 2×1305603182 = 34091993272522248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130560291 and 130560300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130560319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655983 + ... + 656181.

It is an arithmetic number, because the mean of its divisors is an integer number (3494400).

Almost surely, 2130560318 is an apocalyptic number.

130560318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130560318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167731200).

130560318 is an abundant number, since it is smaller than the sum of its proper divisors (204902082).

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

130560318 is a wasteful number, since it uses less digits than its factorization.

130560318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 130560318 is about 11426.2994009434. The cubic root of 130560318 is about 507.3064683058.

The spelling of 130560318 in words is "one hundred thirty million, five hundred sixty thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 127 199 246 254 287 369 381 398 574 597 738 762 861 889 1143 1194 1393 1722 1778 1791 2286 2583 2667 2786 3582 4179 5166 5207 5334 8001 8159 8358 10414 12537 15621 16002 16318 24477 25074 25273 31242 36449 46863 48954 50546 57113 72898 73431 75819 93726 109347 114226 146862 151638 171339 176911 218694 227457 328041 342678 353822 454914 514017 530733 656082 1028034 1036193 1061466 1592199 2072386 3108579 3184398 6217158 7253351 9325737 14506702 18651474 21760053 43520106 65280159 130560318