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11689840 = 245473109
BaseRepresentation
bin101100100101…
…111101110000
3210222220110001
4230211331300
510443033330
61054315344
7201235111
oct54457560
923886401
1011689840
116664828
123ab8b54
132563a86
1417a4208
15105d9ca
hexb25f70

11689840 has 40 divisors (see below), whose sum is σ = 27766080. Its totient is φ = 4574976.

The previous prime is 11689837. The next prime is 11689849. The reversal of 11689840 is 4898611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11689840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11689849) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2206 + ... + 5314.

It is an arithmetic number, because the mean of its divisors is an integer number (694152).

Almost surely, 211689840 is an apocalyptic number.

11689840 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 11689840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13883040).

11689840 is an abundant number, since it is smaller than the sum of its proper divisors (16076240).

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

11689840 is a wasteful number, since it uses less digits than its factorization.

11689840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 11689840 is about 3419.0408011605. The cubic root of 11689840 is about 226.9531364506.

The spelling of 11689840 in words is "eleven million, six hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3109 3760 6218 12436 15545 24872 31090 49744 62180 124360 146123 248720 292246 584492 730615 1168984 1461230 2337968 2922460 5844920 11689840