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10536349 is a prime number
BaseRepresentation
bin101000001100…
…010110011101
3201211022011011
4220030112131
510144130344
61013455221
7155362135
oct50142635
921738134
1010536349
115a4712a
123641511
13224ba35
141583ac5
15dd1d34
hexa0c59d

10536349 has 2 divisors, whose sum is σ = 10536350. Its totient is φ = 10536348.

The previous prime is 10536343. The next prime is 10536359. The reversal of 10536349 is 94363501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9108324 + 1428025 = 3018^2 + 1195^2 .

It is a cyclic number.

It is not a de Polignac number, because 10536349 - 211 = 10534301 is a prime.

It is a super-2 number, since 2×105363492 = 222029300499602, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10536349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10536343) 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, 5268174 + 5268175.

It is an arithmetic number, because the mean of its divisors is an integer number (5268175).

Almost surely, 210536349 is an apocalyptic number.

It is an amenable number.

10536349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10536349 is an equidigital number, since it uses as much as digits as its factorization.

10536349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 10536349 is about 3245.9742759301. The cubic root of 10536349 is about 219.2283503233.

The spelling of 10536349 in words is "ten million, five hundred thirty-six thousand, three hundred forty-nine".