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13605696 = 2632132379
BaseRepresentation
bin110011111001…
…101101000000
3221121020111200
4303321231000
511440340241
61203341200
7223434516
oct63715500
927536450
1013605696
117753185
124681800
132a84b10
141b424b6
1512db4b6
hexcf9b40

13605696 has 168 divisors, whose sum is σ = 44378880. Its totient is φ = 3953664.

The previous prime is 13605689. The next prime is 13605733. The reversal of 13605696 is 69650631.

13605696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×136056962 = 370229927288832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13605696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172185 + ... + 172263.

It is an arithmetic number, because the mean of its divisors is an integer number (264160).

Almost surely, 213605696 is an apocalyptic number.

13605696 is a gapful number since it is divisible by the number (16) 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 13605696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22189440).

13605696 is an abundant number, since it is smaller than the sum of its proper divisors (30773184).

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

13605696 is a wasteful number, since it uses less digits than its factorization.

13605696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 13605696 is about 3688.5899745025. The cubic root of 13605696 is about 238.7299576571.

It can be divided in two parts, 1360 and 5696, that added together give a square (7056 = 842).

The spelling of 13605696 in words is "thirteen million, six hundred five thousand, six hundred ninety-six".