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180218934 = 232729313743
BaseRepresentation
bin10101011110111…
…10110000110110
3110120010001220100
422233132300312
5332114001214
625514414530
74315556430
oct1257366066
9416101810
10180218934
1192802175
1250431446
132b44c72c
1419d13650
1510c4d309
hexabdec36

180218934 has 192 divisors, whose sum is σ = 500797440. Its totient is φ = 45722880.

The previous prime is 180218893. The next prime is 180218959. The reversal of 180218934 is 439812081.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4191117 + ... + 4191159.

It is an arithmetic number, because the mean of its divisors is an integer number (2608320).

Almost surely, 2180218934 is an apocalyptic number.

180218934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180218934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250398720).

180218934 is an abundant number, since it is smaller than the sum of its proper divisors (320578506).

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

180218934 is a wasteful number, since it uses less digits than its factorization.

180218934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 180218934 is about 13424.5645739443. The cubic root of 180218934 is about 564.8504410053.

It can be divided in two parts, 1802 and 18934, that added together give a 4-th power (20736 = 124).

The spelling of 180218934 in words is "one hundred eighty million, two hundred eighteen thousand, nine hundred thirty-four".