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13111648 = 25111932
BaseRepresentation
bin110010000001…
…000101100000
3220200010210121
4302001011200
511324033043
61145010024
7216306244
oct62010540
926603717
1013111648
117445a80
124483914
132940c94
141a54424
15123eded
hexc81160

13111648 has 36 divisors (see below), whose sum is σ = 28306908. Its totient is φ = 5928960.

The previous prime is 13111643. The next prime is 13111649. The reversal of 13111648 is 84611131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67840 + ... + 68032.

It is an arithmetic number, because the mean of its divisors is an integer number (786303).

Almost surely, 213111648 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 13111648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14153454).

13111648 is an abundant number, since it is smaller than the sum of its proper divisors (15195260).

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

13111648 is an equidigital number, since it uses as much as digits as its factorization.

13111648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 206 counting only the distinct ones).

The product of its digits is 576, while the sum is 25.

The square root of 13111648 is about 3621.0009665837. Note that the first 3 decimals coincide. The cubic root of 13111648 is about 235.8046837496.

Adding to 13111648 its reverse (84611131), we get a palindrome (97722779).

The spelling of 13111648 in words is "thirteen million, one hundred eleven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 193 352 386 772 1544 2123 3088 4246 6176 8492 16984 33968 37249 67936 74498 148996 297992 409739 595984 819478 1191968 1638956 3277912 6555824 13111648