Search a number
-
+
130595058 = 2331132379
BaseRepresentation
bin1111100100010…
…11100011110010
3100002201220202000
413302023203302
5231413020213
620543034430
73144016416
oct762134362
9302656660
10130595058
1167799000
123789ba16
13210965a9
14134b6d46
15b6e9c73
hex7c8b8f2

130595058 has 128 divisors (see below), whose sum is σ = 337305600. Its totient is φ = 37374480.

The previous prime is 130595051. The next prime is 130595063. The reversal of 130595058 is 850595031.

It is a happy number.

130595058 is a `hidden beast` number, since 13 + 0 + 595 + 0 + 58 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130595051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1653063 + ... + 1653141.

It is an arithmetic number, because the mean of its divisors is an integer number (2635200).

Almost surely, 2130595058 is an apocalyptic number.

130595058 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 130595058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168652800).

130595058 is an abundant number, since it is smaller than the sum of its proper divisors (206710542).

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

130595058 is a wasteful number, since it uses less digits than its factorization.

130595058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 130595058 is about 11427.8194770481. The cubic root of 130595058 is about 507.3514596785.

The spelling of 130595058 in words is "one hundred thirty million, five hundred ninety-five thousand, fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 79 99 121 138 158 198 207 237 242 253 297 363 414 474 506 594 621 711 726 759 869 1089 1242 1331 1422 1518 1738 1817 2133 2178 2277 2607 2662 2783 3267 3634 3993 4266 4554 5214 5451 5566 6534 6831 7821 7986 8349 9559 10902 11979 13662 15642 16353 16698 19118 19987 23463 23958 25047 28677 30613 32706 35937 39974 46926 49059 50094 57354 59961 61226 71874 75141 86031 91839 98118 105149 119922 150282 172062 179883 183678 210298 219857 258093 275517 315447 359766 439714 516186 539649 551034 630894 659571 826551 946341 1079298 1319142 1653102 1892682 1978713 2418427 2839023 3957426 4836854 5678046 5936139 7255281 11872278 14510562 21765843 43531686 65297529 130595058