Search a number
-
+
11640660 = 22351311481
BaseRepresentation
bin101100011001…
…111101010100
3210220101222120
4230121331110
510440000120
61053255540
7200641533
oct54317524
923811876
1011640660
116630889
123a945b0
132547585
14179031a
15104e140
hexb19f54

11640660 has 48 divisors (see below), whose sum is σ = 32864832. Its totient is φ = 3078400.

The previous prime is 11640649. The next prime is 11640677. The reversal of 11640660 is 6604611.

It is a self number, because there is not a number n which added to its sum of digits gives 11640660.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7120 + ... + 8600.

It is an arithmetic number, because the mean of its divisors is an integer number (684684).

Almost surely, 211640660 is an apocalyptic number.

11640660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11640660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432416).

11640660 is an abundant number, since it is smaller than the sum of its proper divisors (21224172).

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

11640660 is a wasteful number, since it uses less digits than its factorization.

11640660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 11640660 is about 3411.8411451883. The cubic root of 11640660 is about 226.6344196725.

The spelling of 11640660 in words is "eleven million, six hundred forty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1481 1572 1965 2620 2962 3930 4443 5924 7405 7860 8886 14810 17772 22215 29620 44430 88860 194011 388022 582033 776044 970055 1164066 1940110 2328132 2910165 3880220 5820330 11640660