Search a number
-
+
11682522 = 233673229
BaseRepresentation
bin101100100100…
…001011011010
3210222112102000
4230210023122
510442320042
61054221430
7201204555
oct54441332
923875360
1011682522
11665a285
123ab4876
132560647
1417a169c
15105b74c
hexb242da

11682522 has 32 divisors (see below), whose sum is σ = 26356800. Its totient is φ = 3834864.

The previous prime is 11682521. The next prime is 11682529. The reversal of 11682522 is 22528611.

It is a happy number.

It is a super-3 number, since 3×116825223 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11682521) 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 15 ways as a sum of consecutive naturals, for example, 2004 + ... + 5232.

It is an arithmetic number, because the mean of its divisors is an integer number (823650).

Almost surely, 211682522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11682522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13178400).

11682522 is an abundant number, since it is smaller than the sum of its proper divisors (14674278).

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

11682522 is a wasteful number, since it uses less digits than its factorization.

11682522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3301 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 11682522 is about 3417.9704504281. The cubic root of 11682522 is about 226.9057679739.

The spelling of 11682522 in words is "eleven million, six hundred eighty-two thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1809 3229 3618 6458 9687 19374 29061 58122 87183 174366 216343 432686 649029 1298058 1947087 3894174 5841261 11682522