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13645056 = 283109163
BaseRepresentation
bin110100000011…
…010100000000
3221200020111110
4310003110000
511443120211
61204243320
7223660335
oct64032400
927606443
1013645056
11777a807
1246a0540
132a999c9
141b5298c
1512e7ea6
hexd03500

13645056 has 72 divisors (see below), whose sum is σ = 36873760. Its totient is φ = 4478976.

The previous prime is 13645043. The next prime is 13645057. The reversal of 13645056 is 65054631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13645057) 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 7 ways as a sum of consecutive naturals, for example, 83631 + ... + 83793.

Almost surely, 213645056 is an apocalyptic number.

13645056 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 13645056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18436880).

13645056 is an abundant number, since it is smaller than the sum of its proper divisors (23228704).

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

13645056 is a wasteful number, since it uses less digits than its factorization.

13645056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 13645056 is about 3693.9214934809. The cubic root of 13645056 is about 238.9599438014.

Adding to 13645056 its reverse (65054631), we get a palindrome (78699687).

The spelling of 13645056 in words is "thirteen million, six hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 163 192 218 256 326 327 384 436 489 652 654 768 872 978 1304 1308 1744 1956 2608 2616 3488 3912 5216 5232 6976 7824 10432 10464 13952 15648 17767 20864 20928 27904 31296 35534 41728 41856 53301 62592 71068 83712 106602 125184 142136 213204 284272 426408 568544 852816 1137088 1705632 2274176 3411264 4548352 6822528 13645056