Search a number
-
+
1427076405 = 32531712809
BaseRepresentation
bin101010100001111…
…0111010100110101
310200110021222210200
41111003313110311
510410312421110
6353335111113
750235643416
oct12503672465
93613258720
101427076405
11672602697
12339b12499
1319986bb11
14d775d80d
15854426c0
hex550f7535

1427076405 has 12 divisors (see below), whose sum is σ = 2473599180. Its totient is φ = 761107392.

The previous prime is 1427076401. The next prime is 1427076419. The reversal of 1427076405 is 5046707241.

1427076405 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 0 + 7 + 640 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 235376964 + 1191699441 = 15342^2 + 34521^2 .

It is not a de Polignac number, because 1427076405 - 22 = 1427076401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1427076405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427076401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15856360 + ... + 15856449.

It is an arithmetic number, because the mean of its divisors is an integer number (206133265).

Almost surely, 21427076405 is an apocalyptic number.

1427076405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1427076405 is a deficient number, since it is larger than the sum of its proper divisors (1046522775).

1427076405 is a wasteful number, since it uses less digits than its factorization.

1427076405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31712820 (or 31712817 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1427076405 is about 37776.6648210241. The cubic root of 1427076405 is about 1125.8548643158.

The spelling of 1427076405 in words is "one billion, four hundred twenty-seven million, seventy-six thousand, four hundred five".

Divisors: 1 3 5 9 15 45 31712809 95138427 158564045 285415281 475692135 1427076405