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13663144 = 23111391117
BaseRepresentation
bin110100000111…
…101110101000
3221201011022101
4310013232220
511444210034
61204503144
7224064145
oct64075650
927634271
1013663144
117792360
1246aaab4
132aa5001
141b593cc
1512ed514
hexd07ba8

13663144 has 32 divisors (see below), whose sum is σ = 28173600. Its totient is φ = 6160320.

The previous prime is 13663123. The next prime is 13663159. The reversal of 13663144 is 44136631.

13663144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11674 + ... + 12790.

It is an arithmetic number, because the mean of its divisors is an integer number (880425).

Almost surely, 213663144 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 13663144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14086800).

13663144 is an abundant number, since it is smaller than the sum of its proper divisors (14510456).

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

13663144 is a wasteful number, since it uses less digits than its factorization.

13663144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1269 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 13663144 is about 3696.3690291961. The cubic root of 13663144 is about 239.0654862771.

Adding to 13663144 its reverse (44136631), we get a palindrome (57799775).

The spelling of 13663144 in words is "thirteen million, six hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 139 278 556 1112 1117 1529 2234 3058 4468 6116 8936 12232 12287 24574 49148 98296 155263 310526 621052 1242104 1707893 3415786 6831572 13663144