Search a number
-
+
130217178 = 237131714029
BaseRepresentation
bin1111100001011…
…11010011011010
3100002000201101110
413300233103122
5231313422203
620531001150
73140553630
oct760572332
9302021343
10130217178
1167560103
12377391b6
1320c935b0
1413419350
15b672d03
hex7c2f4da

130217178 has 64 divisors (see below), whose sum is σ = 339413760. Its totient is φ = 32320512.

The previous prime is 130217167. The next prime is 130217231. The reversal of 130217178 is 871712031.

It is a Curzon number.

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, 2268 + ... + 16296.

It is an arithmetic number, because the mean of its divisors is an integer number (5303340).

Almost surely, 2130217178 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130217178, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169706880).

130217178 is an abundant number, since it is smaller than the sum of its proper divisors (209196582).

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

130217178 is a wasteful number, since it uses less digits than its factorization.

130217178 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14071.

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 130217178 is about 11411.2741619856. The cubic root of 130217178 is about 506.8616423151.

The spelling of 130217178 in words is "one hundred thirty million, two hundred seventeen thousand, one hundred seventy-eight".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 714 1326 1547 3094 4641 9282 14029 28058 42087 84174 98203 182377 196406 238493 294609 364754 476986 547131 589218 715479 1094262 1276639 1430958 1669451 2553278 3100409 3338902 3829917 5008353 6200818 7659834 9301227 10016706 18602454 21702863 43405726 65108589 130217178