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13198689 = 32721732
BaseRepresentation
bin110010010110…
…010101100001
3220211120012100
4302112111201
511334324224
61150521013
7220121100
oct62262541
926746170
1013198689
1174a5409
124506169
13297179a
141a78037
15125aac9
hexc96561

13198689 has 27 divisors (see below), whose sum is σ = 22306323. Its totient is φ = 7498512.

The previous prime is 13198667. The next prime is 13198697. The reversal of 13198689 is 98689131.

The square root of 13198689 is 3633.

It is a perfect power (a square), and thus also a powerful number.

13198689 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12006225 + 1192464 = 3465^2 + 1092^2 .

It is not a de Polignac number, because 13198689 - 215 = 13165921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13198699) 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 26 ways as a sum of consecutive naturals, for example, 76207 + ... + 76379.

Almost surely, 213198689 is an apocalyptic number.

13198689 is the 3633-rd square number.

13198689 is the 1817-th centered octagonal number.

It is an amenable number.

13198689 is a deficient number, since it is larger than the sum of its proper divisors (9107634).

13198689 is an equidigital number, since it uses as much as digits as its factorization.

13198689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 183 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The cubic root of 13198689 is about 236.3253257749.

The spelling of 13198689 in words is "thirteen million, one hundred ninety-eight thousand, six hundred eighty-nine".

Divisors: 1 3 7 9 21 49 63 147 173 441 519 1211 1557 3633 8477 10899 25431 29929 76293 89787 209503 269361 628509 1466521 1885527 4399563 13198689