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12507 = 311379
BaseRepresentation
bin11000011011011
3122011020
43003123
5400012
6133523
751315
oct30333
918136
1012507
119440
1272a3
135901
1447b5
153a8c
hex30db

12507 has 8 divisors (see below), whose sum is σ = 18240. Its totient is φ = 7560.

The previous prime is 12503. The next prime is 12511. The reversal of 12507 is 70521.

Adding to 12507 its reverse (70521), we get a triangular number (83028 = T407).

It can be divided in two parts, 12 and 507, that multiplied together give a square (6084 = 782).

It is a happy number.

12507 is nontrivially palindromic in base 7.

12507 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12503) and next prime (12511).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12507 - 22 = 12503 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (12503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157 + ... + 222.

It is an arithmetic number, because the mean of its divisors is an integer number (2280).

212507 is an apocalyptic number.

12507 is a deficient number, since it is larger than the sum of its proper divisors (5733).

12507 is a wasteful number, since it uses less digits than its factorization.

12507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 12507 is about 111.8346994452. The cubic root of 12507 is about 23.2122755092.

The spelling of 12507 in words is "twelve thousand, five hundred seven".

Divisors: 1 3 11 33 379 1137 4169 12507