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130380558 = 23711436563
BaseRepresentation
bin1111100010101…
…11001100001110
3100002100000111120
413301113030032
5231334134213
620534301410
73142134150
oct761271416
9302300446
10130380558
1167661930
12377b7866
132101ca79
141345cad0
15b6a6423
hex7c5730e

130380558 has 64 divisors (see below), whose sum is σ = 332716032. Its totient is φ = 33072480.

The previous prime is 130380553. The next prime is 130380577. The reversal of 130380558 is 855083031.

It is a super-3 number, since 3×1303805583 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130380553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16585 + ... + 23147.

It is an arithmetic number, because the mean of its divisors is an integer number (5198688).

Almost surely, 2130380558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130380558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166358016).

130380558 is an abundant number, since it is smaller than the sum of its proper divisors (202335474).

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

130380558 is a wasteful number, since it uses less digits than its factorization.

130380558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 130380558 is about 11418.4306277176. The cubic root of 130380558 is about 507.0735356227.

The spelling of 130380558 in words is "one hundred thirty million, three hundred eighty thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 43 66 77 86 129 154 231 258 301 462 473 602 903 946 1419 1806 2838 3311 6563 6622 9933 13126 19689 19866 39378 45941 72193 91882 137823 144386 216579 275646 282209 433158 505351 564418 846627 1010702 1516053 1693254 1975463 3032106 3104299 3950926 5926389 6208598 9312897 11852778 18625794 21730093 43460186 65190279 130380558