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13507393 is a prime number
BaseRepresentation
bin110011100001…
…101101000001
3221102020122211
4303201231001
511424214033
61201302121
7222545104
oct63415501
927366584
1013507393
117696339
124634941
132a4c153
141b1873b
1512bc2cd
hexce1b41

13507393 has 2 divisors, whose sum is σ = 13507394. Its totient is φ = 13507392.

The previous prime is 13507387. The next prime is 13507399. The reversal of 13507393 is 39370531.

It is a balanced prime because it is at equal distance from previous prime (13507387) and next prime (13507399).

It can be written as a sum of positive squares in only one way, i.e., 8254129 + 5253264 = 2873^2 + 2292^2 .

It is a cyclic number.

It is not a de Polignac number, because 13507393 - 29 = 13506881 is a prime.

It is not a weakly prime, because it can be changed into another prime (13507399) 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, 6753696 + 6753697.

It is an arithmetic number, because the mean of its divisors is an integer number (6753697).

Almost surely, 213507393 is an apocalyptic number.

It is an amenable number.

13507393 is a deficient number, since it is larger than the sum of its proper divisors (1).

13507393 is an equidigital number, since it uses as much as digits as its factorization.

13507393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8505, while the sum is 31.

The square root of 13507393 is about 3675.2405363459. The cubic root of 13507393 is about 238.1536152558.

The spelling of 13507393 in words is "thirteen million, five hundred seven thousand, three hundred ninety-three".