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15131249 = 72308801
BaseRepresentation
bin111001101110…
…001001110001
31001110202011122
4321232021301
512333144444
61300152025
7242420300
oct71561161
931422148
1015131249
1185a5371
125098615
13319a303
14201c437
1514dd4ee
hexe6e271

15131249 has 6 divisors (see below), whose sum is σ = 17601714. Its totient is φ = 12969600.

The previous prime is 15131231. The next prime is 15131273. The reversal of 15131249 is 94213151.

It can be written as a sum of positive squares in only one way, i.e., 13454224 + 1677025 = 3668^2 + 1295^2 .

It is not a de Polignac number, because 15131249 - 212 = 15127153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15131209) 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 5 ways as a sum of consecutive naturals, for example, 154352 + ... + 154449.

It is an arithmetic number, because the mean of its divisors is an integer number (2933619).

Almost surely, 215131249 is an apocalyptic number.

It is an amenable number.

15131249 is a deficient number, since it is larger than the sum of its proper divisors (2470465).

15131249 is an equidigital number, since it uses as much as digits as its factorization.

15131249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308815 (or 308808 counting only the distinct ones).

The product of its digits is 1080, while the sum is 26.

The square root of 15131249 is about 3889.8906154287. The cubic root of 15131249 is about 247.3384259859.

The spelling of 15131249 in words is "fifteen million, one hundred thirty-one thousand, two hundred forty-nine".

Divisors: 1 7 49 308801 2161607 15131249