Search a number
-
+
14967973 = 172997313
BaseRepresentation
bin111001000110…
…010010100101
31001011110012101
4321012102211
512312433343
61252452101
7241140256
oct71062245
931143171
1014967973
1184a3729
12501a031
133140bb7
141db8b2d
1514a9e4d
hexe464a5

14967973 has 16 divisors (see below), whose sum is σ = 16616880. Its totient is φ = 13418496.

The previous prime is 14967941. The next prime is 14967977. The reversal of 14967973 is 37976941.

It can be written as a sum of positive squares in 8 ways, for example, as 702244 + 14265729 = 838^2 + 3777^2 .

It is a cyclic number.

It is not a de Polignac number, because 14967973 - 25 = 14967941 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 (14967977) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47665 + ... + 47977.

It is an arithmetic number, because the mean of its divisors is an integer number (1038555).

Almost surely, 214967973 is an apocalyptic number.

It is an amenable number.

14967973 is a deficient number, since it is larger than the sum of its proper divisors (1648907).

14967973 is a wasteful number, since it uses less digits than its factorization.

14967973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456.

The product of its digits is 285768, while the sum is 46.

The square root of 14967973 is about 3868.8464689103. The cubic root of 14967973 is about 246.4455593094.

The spelling of 14967973 in words is "fourteen million, nine hundred sixty-seven thousand, nine hundred seventy-three".

Divisors: 1 17 29 97 313 493 1649 2813 5321 9077 30361 47821 154309 516137 880469 14967973