Search a number
-
+
13823329 = 131762549
BaseRepresentation
bin110100101110…
…110101100001
3222000022001011
4310232311201
512014321304
61212140521
7225332152
oct64566541
928008034
1013823329
117891743
124767741
132b2cbb0
141b9b929
151330c04
hexd2ed61

13823329 has 8 divisors (see below), whose sum is σ = 15762600. Its totient is φ = 12009216.

The previous prime is 13823309. The next prime is 13823333. The reversal of 13823329 is 92332831.

It can be written as a sum of positive squares in 4 ways, for example, as 5870929 + 7952400 = 2423^2 + 2820^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13823329 - 29 = 13822817 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 13823329.

It is not an unprimeable number, because it can be changed into a prime (13823309) 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 7 ways as a sum of consecutive naturals, for example, 31054 + ... + 31495.

It is an arithmetic number, because the mean of its divisors is an integer number (1970325).

Almost surely, 213823329 is an apocalyptic number.

It is an amenable number.

13823329 is a deficient number, since it is larger than the sum of its proper divisors (1939271).

13823329 is a wasteful number, since it uses less digits than its factorization.

13823329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62579.

The product of its digits is 7776, while the sum is 31.

The square root of 13823329 is about 3717.9737761313. The cubic root of 13823329 is about 239.9961168353.

The spelling of 13823329 in words is "thirteen million, eight hundred twenty-three thousand, three hundred twenty-nine".

Divisors: 1 13 17 221 62549 813137 1063333 13823329