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13329801 = 3212172
BaseRepresentation
bin110010110110…
…010110001001
3221002020001100
4302312112021
511403023201
61153412013
7221205252
oct62662611
927066040
1013329801
117584971
12456a009
1329b9374
141aadb29
151284886
hexcb6589

13329801 has 9 divisors (see below), whose sum is σ = 19269991. Its totient is φ = 8879232.

The previous prime is 13329779. The next prime is 13329803. The reversal of 13329801 is 10892331.

The square root of 13329801 is 3651.

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

13329801 is digitally balanced in base 2, 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., 4473225 + 8856576 = 2115^2 + 2976^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13329801 - 25 = 13329769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13329803) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10345 + ... + 11561.

Almost surely, 213329801 is an apocalyptic number.

13329801 is the 3651-st square number.

13329801 is the 1826-th centered octagonal number.

It is an amenable number.

13329801 is a deficient number, since it is larger than the sum of its proper divisors (5940190).

13329801 is an frugal number, since it uses more digits than its factorization.

13329801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 13329801 is about 237.1052782286.

Multiplying 13329801 by its product of nonzero digits (1296), we get a square (17275422096 = 1314362).

The spelling of 13329801 in words is "thirteen million, three hundred twenty-nine thousand, eight hundred one".

Divisors: 1 3 9 1217 3651 10953 1481089 4443267 13329801