Search a number
-
+
180520116 = 22372337911
BaseRepresentation
bin10101100001010…
…00010010110100
3110120200101001020
422300220102310
5332203120431
625525101140
74321252500
oct1260502264
9416611036
10180520116
1192998487
12505577b0
132b52684a
1419d91300
1510cac696
hexac284b4

180520116 has 72 divisors (see below), whose sum is σ = 491976576. Its totient is φ = 51367680.

The previous prime is 180520111. The next prime is 180520129. The reversal of 180520116 is 611025081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180520111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197701 + ... + 198611.

It is an arithmetic number, because the mean of its divisors is an integer number (6833008).

Almost surely, 2180520116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180520116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245988288).

180520116 is an abundant number, since it is smaller than the sum of its proper divisors (311456460).

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

180520116 is a wasteful number, since it uses less digits than its factorization.

180520116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 180520116 is about 13435.7774616879. Note that the first 3 decimals coincide. The cubic root of 180520116 is about 565.1649253566.

Adding to 180520116 its reverse (611025081), we get a palindrome (791545197).

The spelling of 180520116 in words is "one hundred eighty million, five hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 337 588 674 911 1011 1348 1822 2022 2359 2733 3644 4044 4718 5466 6377 7077 9436 10932 12754 14154 16513 19131 25508 28308 33026 38262 44639 49539 66052 76524 89278 99078 133917 178556 198156 267834 307007 535668 614014 921021 1228028 1842042 2149049 3684084 4298098 6447147 8596196 12894294 15043343 25788588 30086686 45130029 60173372 90260058 180520116