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10197513 = 329711681
BaseRepresentation
bin100110111001…
…101000001001
3201012002100200
4212321220021
510102310023
61002322413
7152451234
oct46715011
921162320
1010197513
1158355a7
1234b9409
132160741
1414d641b
15d66743
hex9b9a09

10197513 has 12 divisors (see below), whose sum is σ = 14882868. Its totient is φ = 6727680.

The previous prime is 10197511. The next prime is 10197527. The reversal of 10197513 is 31579101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4875264 + 5322249 = 2208^2 + 2307^2 .

It is not a de Polignac number, because 10197513 - 21 = 10197511 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10197511) 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 11 ways as a sum of consecutive naturals, for example, 4968 + ... + 6713.

It is an arithmetic number, because the mean of its divisors is an integer number (1240239).

Almost surely, 210197513 is an apocalyptic number.

It is an amenable number.

10197513 is a deficient number, since it is larger than the sum of its proper divisors (4685355).

10197513 is a wasteful number, since it uses less digits than its factorization.

10197513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11784 (or 11781 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 10197513 is about 3193.3545058449. The cubic root of 10197513 is about 216.8526610659.

The spelling of 10197513 in words is "ten million, one hundred ninety-seven thousand, five hundred thirteen".

Divisors: 1 3 9 97 291 873 11681 35043 105129 1133057 3399171 10197513