Search a number
-
+
82015180 = 22513331953
BaseRepresentation
bin1001110001101…
…11001111001100
312201022210200021
410320313033030
5131443441210
612045511524
72014055212
oct470671714
9181283607
1082015180
1142328245
12235725a4
1313cb76c0
14ac6ccb2
157300bda
hex4e373cc

82015180 has 48 divisors (see below), whose sum is σ = 186236064. Its totient is φ = 30159360.

The previous prime is 82015177. The next prime is 82015201. The reversal of 82015180 is 8151028.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85584 + ... + 86536.

It is an arithmetic number, because the mean of its divisors is an integer number (3879918).

Almost surely, 282015180 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 82015180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93118032).

82015180 is an abundant number, since it is smaller than the sum of its proper divisors (104220884).

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

82015180 is a wasteful number, since it uses less digits than its factorization.

82015180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 82015180 is about 9056.2232746328. The cubic root of 82015180 is about 434.4749555524.

The spelling of 82015180 in words is "eighty-two million, fifteen thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 331 662 953 1324 1655 1906 3310 3812 4303 4765 6620 8606 9530 12389 17212 19060 21515 24778 43030 49556 61945 86060 123890 247780 315443 630886 1261772 1577215 3154430 4100759 6308860 8201518 16403036 20503795 41007590 82015180