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13709593 is a prime number
BaseRepresentation
bin110100010011…
…000100011001
3221210112000201
4310103010121
512002201333
61205502201
7224346442
oct64230431
927715021
1013709593
117814247
124711961
132ac01b1
141b6c2c9
15130c17d
hexd13119

13709593 has 2 divisors, whose sum is σ = 13709594. Its totient is φ = 13709592.

The previous prime is 13709569. The next prime is 13709611. The reversal of 13709593 is 39590731.

13709593 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9535744 + 4173849 = 3088^2 + 2043^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13709593 is a prime.

It is not a weakly prime, because it can be changed into another prime (13709513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6854796 + 6854797.

It is an arithmetic number, because the mean of its divisors is an integer number (6854797).

Almost surely, 213709593 is an apocalyptic number.

It is an amenable number.

13709593 is a deficient number, since it is larger than the sum of its proper divisors (1).

13709593 is an equidigital number, since it uses as much as digits as its factorization.

13709593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25515, while the sum is 37.

The square root of 13709593 is about 3702.6467560382. The cubic root of 13709593 is about 239.3360875650.

The spelling of 13709593 in words is "thirteen million, seven hundred nine thousand, five hundred ninety-three".