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13724693 is a prime number
BaseRepresentation
bin110100010110…
…110000010101
3221211021201222
4310112300111
512003142233
61210100125
7224441453
oct64266025
927737658
1013724693
117824624
12471a645
132ac7028
141b739d3
151311898
hexd16c15

13724693 has 2 divisors, whose sum is σ = 13724694. Its totient is φ = 13724692.

The previous prime is 13724677. The next prime is 13724701. The reversal of 13724693 is 39642731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11142244 + 2582449 = 3338^2 + 1607^2 .

It is a cyclic number.

It is not a de Polignac number, because 13724693 - 24 = 13724677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13724603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6862346 + 6862347.

It is an arithmetic number, because the mean of its divisors is an integer number (6862347).

Almost surely, 213724693 is an apocalyptic number.

It is an amenable number.

13724693 is a deficient number, since it is larger than the sum of its proper divisors (1).

13724693 is an equidigital number, since it uses as much as digits as its factorization.

13724693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 35.

The square root of 13724693 is about 3704.6852767813. The cubic root of 13724693 is about 239.4239250596.

It can be divided in two parts, 137246 and 93, that multiplied together give a triangular number (12763878 = T5052).

The spelling of 13724693 in words is "thirteen million, seven hundred twenty-four thousand, six hundred ninety-three".