Search a number
-
+
13202149 = 17672173
BaseRepresentation
bin110010010111…
…001011100101
3220211201221111
4302113023211
511334432044
61150545021
7220134142
oct62271345
926751844
1013202149
1174a7a74
124508171
13297322c
141a793c9
15125bb34
hexc972e5

13202149 has 12 divisors (see below), whose sum is σ = 14272524. Its totient is φ = 12169344.

The previous prime is 13202143. The next prime is 13202173. The reversal of 13202149 is 94120231.

It can be written as a sum of positive squares in 2 ways, for example, as 11222500 + 1979649 = 3350^2 + 1407^2 .

It is not a de Polignac number, because 13202149 - 25 = 13202117 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 (13202143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76227 + ... + 76399.

It is an arithmetic number, because the mean of its divisors is an integer number (1189377).

Almost surely, 213202149 is an apocalyptic number.

It is an amenable number.

13202149 is a deficient number, since it is larger than the sum of its proper divisors (1070375).

13202149 is an equidigital number, since it uses as much as digits as its factorization.

13202149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13202149 is about 3633.4761592723. The cubic root of 13202149 is about 236.3459746486.

The spelling of 13202149 in words is "thirteen million, two hundred two thousand, one hundred forty-nine".

Divisors: 1 17 67 173 1139 2941 4489 11591 76313 197047 776597 13202149