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180830130 = 235133114957
BaseRepresentation
bin10101100011100…
…11111110110010
3110121021010022020
422301303332302
5332243031010
625535452310
74324013355
oct1261637662
9417233266
10180830130
119308a398
1250687096
132b6049a0
141a03229c
1510d1e470
hexac73fb2

180830130 has 64 divisors (see below), whose sum is σ = 482485248. Its totient is φ = 43073280.

The previous prime is 180830129. The next prime is 180830141. The reversal of 180830130 is 31038081.

It is a self number, because there is not a number n which added to its sum of digits gives 180830130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4612 + ... + 19568.

It is an arithmetic number, because the mean of its divisors is an integer number (7538832).

Almost surely, 2180830130 is an apocalyptic number.

180830130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180830130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241242624).

180830130 is an abundant number, since it is smaller than the sum of its proper divisors (301655118).

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

180830130 is a wasteful number, since it uses less digits than its factorization.

180830130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15011.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 180830130 is about 13447.3093963068. The cubic root of 180830130 is about 565.4882666753.

The spelling of 180830130 in words is "one hundred eighty million, eight hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1209 2015 2418 4030 6045 12090 14957 29914 44871 74785 89742 149570 194441 224355 388882 448710 463667 583323 927334 972205 1166646 1391001 1944410 2318335 2782002 2916615 4636670 5833230 6027671 6955005 12055342 13910010 18083013 30138355 36166026 60276710 90415065 180830130