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13694761 = 26175233
BaseRepresentation
bin110100001111…
…011100101001
3221202202200101
4310033130221
512001213021
61205305401
7224255263
oct64173451
927682611
1013694761
117804093
124705261
132ab6512
141b66b33
151307a91
hexd0f729

13694761 has 4 divisors (see below), whose sum is σ = 13702612. Its totient is φ = 13686912.

The previous prime is 13694749. The next prime is 13694767. The reversal of 13694761 is 16749631.

13694761 is a nontrivial binomial coefficient, being equal to C(5234, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 13278736 + 416025 = 3644^2 + 645^2 .

It is a 3-Lehmer number, since φ(13694761) divides (13694761-1)3.

It is a cyclic number.

It is not a de Polignac number, because 13694761 - 27 = 13694633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13694761.

It is not an unprimeable number, because it can be changed into a prime (13694767) 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 3 ways as a sum of consecutive naturals, for example, 1 + ... + 5233.

It is an arithmetic number, because the mean of its divisors is an integer number (3425653).

It is a Poulet number, since it divides 213694760-1.

Almost surely, 213694761 is an apocalyptic number.

13694761 is the 5233-rd triangular number and also the 2617-th hexagonal number.

13694761 is the 1745-th centered nonagonal number.

It is an amenable number.

13694761 is a deficient number, since it is larger than the sum of its proper divisors (7851).

13694761 is an equidigital number, since it uses as much as digits as its factorization.

13694761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7850.

The product of its digits is 27216, while the sum is 37.

The square root of 13694761 is about 3700.6433224508. The cubic root of 13694761 is about 239.2497462279.

It can be divided in two parts, 1369 and 4761, that multiplied together give a square (6517809 = 25532).

The spelling of 13694761 in words is "thirteen million, six hundred ninety-four thousand, seven hundred sixty-one".

Divisors: 1 2617 5233 13694761