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11663124 = 22311149593
BaseRepresentation
bin101100011111…
…011100010100
3210221112210120
4230133130110
510441204444
61053551540
7201064164
oct54373424
923845716
1011663124
116646750
123aa55b0
132554875
1417985a4
151055b19
hexb1f714

11663124 has 48 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 3504640.

The previous prime is 11663117. The next prime is 11663143. The reversal of 11663124 is 42136611.

It is a super-2 number, since 2×116631242 = 272056922878752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11663094 and 11663103.

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, 19372 + ... + 19964.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 211663124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11663124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

11663124 is an abundant number, since it is smaller than the sum of its proper divisors (18274476).

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

11663124 is a wasteful number, since it uses less digits than its factorization.

11663124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 758 counting only the distinct ones).

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

The square root of 11663124 is about 3415.1316226465. The cubic root of 11663124 is about 226.7801114169.

Adding to 11663124 its reverse (42136611), we get a palindrome (53799735).

The spelling of 11663124 in words is "eleven million, six hundred sixty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 593 596 894 1186 1639 1779 1788 2372 3278 3558 4917 6523 6556 7116 9834 13046 19569 19668 26092 39138 78276 88357 176714 265071 353428 530142 971927 1060284 1943854 2915781 3887708 5831562 11663124