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8127385 = 574677
BaseRepresentation
bin11111000000001110011001
3120021220200021
4133000032121
54040034020
6450110441
7126040000
oct37001631
916256607
108127385
114651252
12287b421
1318b7406
141117c37
15aa81aa
hex7c0399

8127385 has 20 divisors (see below), whose sum is σ = 11394468. Its totient is φ = 5564832.

The previous prime is 8127341. The next prime is 8127397. The reversal of 8127385 is 5837218.

It can be written as a sum of positive squares in 2 ways, for example, as 6245001 + 1882384 = 2499^2 + 1372^2 .

It is a de Polignac number, because none of the positive numbers 2k-8127385 is a prime.

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 8127385.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11667 + ... + 12343.

Almost surely, 28127385 is an apocalyptic number.

It is an amenable number.

8127385 is a deficient number, since it is larger than the sum of its proper divisors (3267083).

8127385 is an frugal number, since it uses more digits than its factorization.

8127385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 689 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 8127385 is about 2850.8568887266. The cubic root of 8127385 is about 201.0559566326.

The spelling of 8127385 in words is "eight million, one hundred twenty-seven thousand, three hundred eighty-five".

Divisors: 1 5 7 35 49 245 343 677 1715 2401 3385 4739 12005 23695 33173 165865 232211 1161055 1625477 8127385