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12580137 = 33465931
BaseRepresentation
bin101111111111…
…010100101001
3212200010201000
4233333110221
511210031022
61125345213
7211633533
oct57772451
925603630
1012580137
117112709
124268209
1327b608b
141956853
1511876ac
hexbff529

12580137 has 8 divisors (see below), whose sum is σ = 18637280. Its totient is φ = 8386740.

The previous prime is 12580093. The next prime is 12580159. The reversal of 12580137 is 73108521.

It is not a de Polignac number, because 12580137 - 210 = 12579113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 465931 = 12580137 / (1 + 2 + 5 + 8 + 0 + 1 + 3 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12580137.

It is not an unprimeable number, because it can be changed into a prime (12580237) 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, 232939 + ... + 232992.

It is an arithmetic number, because the mean of its divisors is an integer number (2329660).

Almost surely, 212580137 is an apocalyptic number.

It is an amenable number.

12580137 is a deficient number, since it is larger than the sum of its proper divisors (6057143).

12580137 is an equidigital number, since it uses as much as digits as its factorization.

12580137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465940 (or 465934 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 12580137 is about 3546.8488831638. The cubic root of 12580137 is about 232.5743362719.

Adding to 12580137 its reverse (73108521), we get a palindrome (85688658).

The spelling of 12580137 in words is "twelve million, five hundred eighty thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 465931 1397793 4193379 12580137