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13006045 = 513732741
BaseRepresentation
bin110001100111…
…010011011101
3220110202221101
4301213103131
511312143140
61142433101
7215356333
oct61472335
926422841
1013006045
1173836a8
124432791
132904bb0
141a27b53
15121d99a
hexc674dd

13006045 has 16 divisors (see below), whose sum is σ = 17044272. Its totient is φ = 9469440.

The previous prime is 13006039. The next prime is 13006057. The reversal of 13006045 is 54060031.

It can be written as a sum of positive squares in 8 ways, for example, as 1425636 + 11580409 = 1194^2 + 3403^2 .

It is not a de Polignac number, because 13006045 - 27 = 13005917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3375 + ... + 6115.

It is an arithmetic number, because the mean of its divisors is an integer number (1065267).

Almost surely, 213006045 is an apocalyptic number.

It is an amenable number.

13006045 is a deficient number, since it is larger than the sum of its proper divisors (4038227).

13006045 is a wasteful number, since it uses less digits than its factorization.

13006045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 13006045 is about 3606.3894687069. The cubic root of 13006045 is about 235.1699088121.

Adding to 13006045 its reverse (54060031), we get a palindrome (67066076).

The spelling of 13006045 in words is "thirteen million, six thousand, forty-five".

Divisors: 1 5 13 65 73 365 949 2741 4745 13705 35633 178165 200093 1000465 2601209 13006045