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10208393 = 133173347
BaseRepresentation
bin100110111100…
…010010001001
3201012122021122
4212330102021
510103132033
61002445025
7152525036
oct46742211
921178248
1010208393
115842798
123503775
132165690
1414da38d
15d69a98
hex9bc489

10208393 has 16 divisors (see below), whose sum is σ = 11536896. Its totient is φ = 8968320.

The previous prime is 10208333. The next prime is 10208399. The reversal of 10208393 is 39380201.

It is a cyclic number.

It is not a de Polignac number, because 10208393 - 28 = 10208137 is a prime.

It is a super-2 number, since 2×102083932 = 208422575284898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10208399) 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 in 15 ways as a sum of consecutive naturals, for example, 29246 + ... + 29592.

It is an arithmetic number, because the mean of its divisors is an integer number (721056).

Almost surely, 210208393 is an apocalyptic number.

10208393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10208393 is a deficient number, since it is larger than the sum of its proper divisors (1328503).

10208393 is a wasteful number, since it uses less digits than its factorization.

10208393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 10208393 is about 3195.0575894653. The cubic root of 10208393 is about 216.9297556268.

Adding to 10208393 its reverse (39380201), we get a palindrome (49588594).

It can be divided in two parts, 10208 and 393, that added together give a palindrome (10601).

The spelling of 10208393 in words is "ten million, two hundred eight thousand, three hundred ninety-three".

Divisors: 1 13 31 73 347 403 949 2263 4511 10757 25331 29419 139841 329303 785261 10208393