Search a number
-
+
82130148 = 22322399191
BaseRepresentation
bin1001110010100…
…11010011100100
312201112122101100
410321103103210
5132011131043
612052200100
72015044332
oct471232344
9181478340
1082130148
11423a6661
1223609030
1314027b29
14ac9cb52
157324cd3
hex4e534e4

82130148 has 36 divisors (see below), whose sum is σ = 216635328. Its totient is φ = 26186160.

The previous prime is 82130143. The next prime is 82130159. The reversal of 82130148 is 84103128.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×821301482 = 13490722421003808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82130143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48768 + ... + 50423.

It is an arithmetic number, because the mean of its divisors is an integer number (6017648).

Almost surely, 282130148 is an apocalyptic number.

It is an amenable number.

82130148 is an abundant number, since it is smaller than the sum of its proper divisors (134505180).

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

82130148 is a wasteful number, since it uses less digits than its factorization.

82130148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99224 (or 99219 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 82130148 is about 9062.5685100859. The cubic root of 82130148 is about 434.6778748767.

The spelling of 82130148 in words is "eighty-two million, one hundred thirty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 99191 198382 297573 396764 595146 892719 1190292 1785438 2281393 3570876 4562786 6844179 9125572 13688358 20532537 27376716 41065074 82130148