Search a number
-
+
21164405 = 517416073
BaseRepresentation
bin101000010111…
…1000101110101
31110211021002212
41100233011311
520404230110
62033343205
7344615543
oct120570565
943737085
1021164405
1110a46149
127107b05
134500422
142b4cd93
151cd0e05
hex142f175

21164405 has 16 divisors (see below), whose sum is σ = 27551664. Its totient is φ = 15544320.

The previous prime is 21164401. The next prime is 21164431. The reversal of 21164405 is 50446112.

It can be written as a sum of positive squares in 8 ways, for example, as 22801 + 21141604 = 151^2 + 4598^2 .

It is not a de Polignac number, because 21164405 - 22 = 21164401 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21164401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449 + ... + 6521.

It is an arithmetic number, because the mean of its divisors is an integer number (1721979).

Almost surely, 221164405 is an apocalyptic number.

It is an amenable number.

21164405 is a deficient number, since it is larger than the sum of its proper divisors (6387259).

21164405 is a wasteful number, since it uses less digits than its factorization.

21164405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 21164405 is about 4600.4787794315. The cubic root of 21164405 is about 276.6105166610.

The spelling of 21164405 in words is "twenty-one million, one hundred sixty-four thousand, four hundred five".

Divisors: 1 5 17 41 85 205 697 3485 6073 30365 103241 248993 516205 1244965 4232881 21164405