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13677168 = 2431072663
BaseRepresentation
bin110100001011…
…001001110000
3221201212112210
4310023021300
512000132133
61205052120
7224153061
oct64131160
927655483
1013677168
1177a194a
1246b7040
132aab4cb
141b60568
151302763
hexd0b270

13677168 has 40 divisors (see below), whose sum is σ = 35676288. Its totient is φ = 4514752.

The previous prime is 13677151. The next prime is 13677173. The reversal of 13677168 is 86177631.

It is a congruent number.

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, 3805 + ... + 6467.

Almost surely, 213677168 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 13677168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17838144).

13677168 is an abundant number, since it is smaller than the sum of its proper divisors (21999120).

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

13677168 is a wasteful number, since it uses less digits than its factorization.

13677168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2775 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 13677168 is about 3698.2655394117. The cubic root of 13677168 is about 239.1472514493.

The spelling of 13677168 in words is "thirteen million, six hundred seventy-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 2663 5136 5326 7989 10652 15978 21304 31956 42608 63912 127824 284941 569882 854823 1139764 1709646 2279528 3419292 4559056 6838584 13677168