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13782407 is a prime number
BaseRepresentation
bin110100100100…
…110110000111
3221221012220112
4310210312013
512012014112
61211223235
7225101642
oct64446607
927835815
1013782407
117863a21
124747b1b
132b17392
141b8aa59
151323a22
hexd24d87

13782407 has 2 divisors, whose sum is σ = 13782408. Its totient is φ = 13782406.

The previous prime is 13782397. The next prime is 13782409. The reversal of 13782407 is 70428731.

It is a happy number.

13782407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (70428731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13782407 is a prime.

Together with 13782409, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13782409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6891203 + 6891204.

It is an arithmetic number, because the mean of its divisors is an integer number (6891204).

Almost surely, 213782407 is an apocalyptic number.

13782407 is a deficient number, since it is larger than the sum of its proper divisors (1).

13782407 is an equidigital number, since it uses as much as digits as its factorization.

13782407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 13782407 is about 3712.4664308247. The cubic root of 13782407 is about 239.7590579617.

The spelling of 13782407 in words is "thirteen million, seven hundred eighty-two thousand, four hundred seven".