Search a number
-
+
12624605 = 5722272
BaseRepresentation
bin110000001010…
…001011011101
3212202101200222
4300022023131
511212441410
61130331125
7212210300
oct60121335
925671628
1012624605
117143064
124289aa5
1328003a6
141968b37
151195955
hexc0a2dd

12624605 has 18 divisors (see below), whose sum is σ = 17700894. Its totient is φ = 8618736.

The previous prime is 12624593. The next prime is 12624613. The reversal of 12624605 is 50642621.

It can be written as a sum of positive squares in only one way, i.e., 10099684 + 2524921 = 3178^2 + 1589^2 .

It is not a de Polignac number, because 12624605 - 24 = 12624589 is a prime.

It is a Duffinian number.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 55502 + ... + 55728.

It is an arithmetic number, because the mean of its divisors is an integer number (983383).

Almost surely, 212624605 is an apocalyptic number.

It is an amenable number.

12624605 is a deficient number, since it is larger than the sum of its proper divisors (5076289).

12624605 is an frugal number, since it uses more digits than its factorization.

12624605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 12624605 is about 3553.1120162472. The cubic root of 12624605 is about 232.8480469573.

Multiplying 12624605 by its product of nonzero digits (2880), we get a square (36358862400 = 1906802).

The spelling of 12624605 in words is "twelve million, six hundred twenty-four thousand, six hundred five".

Divisors: 1 5 7 35 49 227 245 1135 1589 7945 11123 51529 55615 257645 360703 1803515 2524921 12624605