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11686230 = 2325413167
BaseRepresentation
bin101100100101…
…000101010110
3210222201111100
4230211011112
510442424410
61054250530
7201221433
oct54450526
923881440
1011686230
116662046
123ab6a46
13256223a
1417a2b8a
15105c8c0
hexb25156

11686230 has 48 divisors (see below), whose sum is σ = 31135104. Its totient is φ = 3039360.

The previous prime is 11686229. The next prime is 11686243. The reversal of 11686230 is 3268611.

It is a super-2 number, since 2×116862302 = 273135943225800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11686194 and 11686203.

It is a congruent number.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 2107 + ... + 5273.

It is an arithmetic number, because the mean of its divisors is an integer number (648648).

Almost surely, 211686230 is an apocalyptic number.

11686230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11686230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567552).

11686230 is an abundant number, since it is smaller than the sum of its proper divisors (19448874).

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

11686230 is a wasteful number, since it uses less digits than its factorization.

11686230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11686230 is about 3418.5128345525. The cubic root of 11686230 is about 226.9297718544.

The spelling of 11686230 in words is "eleven million, six hundred eighty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3167 3690 6334 9501 15835 19002 28503 31670 47505 57006 95010 129847 142515 259694 285030 389541 649235 779082 1168623 1298470 1947705 2337246 3895410 5843115 11686230