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13187307 = 373147431
BaseRepresentation
bin110010010011…
…100011101011
3220210222120210
4302103203223
511333443212
61150352203
7220042650
oct62234353
926728523
1013187307
117497901
1244bb663
132969553
141a73c27
15125753c
hexc938eb

13187307 has 32 divisors (see below), whose sum is σ = 21233664. Its totient is φ = 7120800.

The previous prime is 13187263. The next prime is 13187309. The reversal of 13187307 is 70378131.

It is not a de Polignac number, because 13187307 - 26 = 13187243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13187309) 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 31 ways as a sum of consecutive naturals, for example, 30382 + ... + 30812.

It is an arithmetic number, because the mean of its divisors is an integer number (663552).

Almost surely, 213187307 is an apocalyptic number.

13187307 is a deficient number, since it is larger than the sum of its proper divisors (8046357).

13187307 is a wasteful number, since it uses less digits than its factorization.

13187307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519.

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 13187307 is about 3631.4331881504. The cubic root of 13187307 is about 236.2573738635.

The spelling of 13187307 in words is "thirteen million, one hundred eighty-seven thousand, three hundred seven".

Divisors: 1 3 7 21 31 47 93 141 217 329 431 651 987 1293 1457 3017 4371 9051 10199 13361 20257 30597 40083 60771 93527 141799 280581 425397 627967 1883901 4395769 13187307