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13806765 = 325753827
BaseRepresentation
bin110100101010…
…110010101101
3221222110022200
4310222302231
512013304030
61211532113
7225232650
oct64526255
927873280
1013806765
117880255
12475a039
132b254ab
141b95897
15132ad60
hexd2acad

13806765 has 48 divisors (see below), whose sum is σ = 27900288. Its totient is φ = 6185088.

The previous prime is 13806763. The next prime is 13806769. The reversal of 13806765 is 56760831.

It is not a de Polignac number, because 13806765 - 21 = 13806763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13806761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16282 + ... + 17108.

It is an arithmetic number, because the mean of its divisors is an integer number (581256).

Almost surely, 213806765 is an apocalyptic number.

13806765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13806765 is an abundant number, since it is smaller than the sum of its proper divisors (14093523).

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

13806765 is a wasteful number, since it uses less digits than its factorization.

13806765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 13806765 is about 3715.7455510301. The cubic root of 13806765 is about 239.9002189380.

The spelling of 13806765 in words is "thirteen million, eight hundred six thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 53 63 105 159 265 315 371 477 795 827 1113 1855 2385 2481 3339 4135 5565 5789 7443 12405 16695 17367 28945 37215 43831 52101 86835 131493 219155 260505 306817 394479 657465 920451 1534085 1972395 2761353 4602255 13806765