Search a number
-
+
2982186 = 232292197
BaseRepresentation
bin1011011000000100101010
312121111210100
423120010222
51230412221
6143530230
734230264
oct13300452
95544710
102982186
111757619
12bb9976
1380550c
14578b34
153dd926
hex2d812a

2982186 has 36 divisors (see below), whose sum is σ = 6725862. Its totient is φ = 954912.

The previous prime is 2982181. The next prime is 2982193. The reversal of 2982186 is 6812892.

It can be written as a sum of positive squares in 3 ways, for example, as 2975625 + 6561 = 1725^2 + 81^2 .

It is a Curzon number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2982186.

It is not an unprimeable number, because it can be changed into a prime (2982181) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15040 + ... + 15236.

22982186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2982186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362931).

2982186 is an abundant number, since it is smaller than the sum of its proper divisors (3743676).

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

2982186 is a wasteful number, since it uses less digits than its factorization.

2982186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 231 counting only the distinct ones).

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

The square root of 2982186 is about 1726.9006919913. The cubic root of 2982186 is about 143.9389208555.

It can be divided in two parts, 29 and 82186, that added together give a triangular number (82215 = T405).

The spelling of 2982186 in words is "two million, nine hundred eighty-two thousand, one hundred eighty-six".

Divisors: 1 2 3 6 9 18 29 58 87 174 197 261 394 522 591 841 1182 1682 1773 2523 3546 5046 5713 7569 11426 15138 17139 34278 51417 102834 165677 331354 497031 994062 1491093 2982186