Search a number
-
+
13682745 = 325535737
BaseRepresentation
bin110100001100…
…100000111001
3221202011012100
4310030200321
512000321440
61205134013
7224205246
oct64144071
927664170
1013682745
1177a605a
1246ba309
132ab0bcb
141b625cd
151304230
hexd0c839

13682745 has 24 divisors (see below), whose sum is σ = 24168456. Its totient is φ = 7158528.

The previous prime is 13682741. The next prime is 13682761. The reversal of 13682745 is 54728631.

13682745 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 110889 + 13571856 = 333^2 + 3684^2 .

It is not a de Polignac number, because 13682745 - 22 = 13682741 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13682741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484 + ... + 5253.

It is an arithmetic number, because the mean of its divisors is an integer number (1007019).

Almost surely, 213682745 is an apocalyptic number.

13682745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13682745 is a deficient number, since it is larger than the sum of its proper divisors (10485711).

13682745 is a wasteful number, since it uses less digits than its factorization.

13682745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5801 (or 5798 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13682745 is about 3699.0194646690. The cubic root of 13682745 is about 239.1797519148.

The spelling of 13682745 in words is "thirteen million, six hundred eighty-two thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385 5737 17211 28685 51633 86055 258165 304061 912183 1520305 2736549 4560915 13682745