Search a number
-
+
11830086 = 23229131173
BaseRepresentation
bin101101001000…
…001101000110
3211021000211100
4231020031012
511012030321
61101320530
7202361022
oct55101506
924230740
1011830086
116750134
123b66146
1325b2868
1417dd382
15108a326
hexb48346

11830086 has 48 divisors (see below), whose sum is σ = 26872560. Its totient is φ = 3756480.

The previous prime is 11830081. The next prime is 11830163. The reversal of 11830086 is 68003811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11830081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68296 + ... + 68468.

It is an arithmetic number, because the mean of its divisors is an integer number (559845).

Almost surely, 211830086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11830086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13436280).

11830086 is an abundant number, since it is smaller than the sum of its proper divisors (15042474).

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

11830086 is a wasteful number, since it uses less digits than its factorization.

11830086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11830086 is about 3439.4892062630. The cubic root of 11830086 is about 227.8571358005.

Adding to 11830086 its reverse (68003811), we get a palindrome (79833897).

The spelling of 11830086 in words is "eleven million, eight hundred thirty thousand, eighty-six".

Divisors: 1 2 3 6 9 18 29 58 87 131 173 174 261 262 346 393 519 522 786 1038 1179 1557 2358 3114 3799 5017 7598 10034 11397 15051 22663 22794 30102 34191 45153 45326 67989 68382 90306 135978 203967 407934 657227 1314454 1971681 3943362 5915043 11830086