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13008373 = 72535009
BaseRepresentation
bin110001100111…
…110111110101
3220110220010121
4301213313311
511312231443
61142451541
7215366200
oct61476765
926426117
1013008373
117385424
124433bb1
132905c81
141a28937
15121e4ed
hexc67df5

13008373 has 12 divisors (see below), whose sum is σ = 15420780. Its totient is φ = 10937472.

The previous prime is 13008367. The next prime is 13008419. The reversal of 13008373 is 37380031.

13008373 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 2 ways, for example, as 7800849 + 5207524 = 2793^2 + 2282^2 .

It is not a de Polignac number, because 13008373 - 217 = 12877301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13008353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93 + ... + 5101.

It is an arithmetic number, because the mean of its divisors is an integer number (1285065).

Almost surely, 213008373 is an apocalyptic number.

It is an amenable number.

13008373 is a deficient number, since it is larger than the sum of its proper divisors (2412407).

13008373 is an equidigital number, since it uses as much as digits as its factorization.

13008373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 13008373 is about 3606.7122147463. The cubic root of 13008373 is about 235.1839392850.

The spelling of 13008373 in words is "thirteen million, eight thousand, three hundred seventy-three".

Divisors: 1 7 49 53 371 2597 5009 35063 245441 265477 1858339 13008373