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368082 = 232112132
BaseRepresentation
bin1011001110111010010
3200200220200
41121313102
543234312
611520030
73062061
oct1316722
9620820
10368082
11231600
12159016
13cb700
14981d8
15740dc
hex59dd2

368082 has 54 divisors (see below), whose sum is σ = 949221. Its totient is φ = 102960.

The previous prime is 368077. The next prime is 368083. The reversal of 368082 is 280863.

It can be written as a sum of positive squares in 2 ways, for example, as 314721 + 53361 = 561^2 + 231^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=429.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368082.

It is not an unprimeable number, because it can be changed into a prime (368083) by changing a digit.

368082 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 26 ways as a sum of consecutive naturals, for example, 28308 + ... + 28320.

2368082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368082

368082 is an abundant number, since it is smaller than the sum of its proper divisors (581139).

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

368082 is a wasteful number, since it uses less digits than its factorization.

368082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 368082 is about 606.6976182581. The cubic root of 368082 is about 71.6662796686. Note that the first 3 decimals are identical.

It can be divided in two parts, 36 and 8082, that added together give a palindrome (8118).

The spelling of 368082 in words is "three hundred sixty-eight thousand, eighty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 169 198 234 242 286 338 363 429 507 726 858 1014 1089 1287 1521 1573 1859 2178 2574 3042 3146 3718 4719 5577 9438 11154 14157 16731 20449 28314 33462 40898 61347 122694 184041 368082