Search a number
-
+
16806393 = 33191812
BaseRepresentation
bin100000000011…
…1000111111001
31011121212001000
41000013013321
513300301033
61400115213
7262565142
oct100070771
934555030
1016806393
11953998a
125765b09
133635916
142336ac9
15171ea13
hex10071f9

16806393 has 24 divisors (see below), whose sum is σ = 26354400. Its totient is φ = 10555920.

The previous prime is 16806373. The next prime is 16806403. The reversal of 16806393 is 39360861.

It is a happy number.

16806393 is a `hidden beast` number, since 16 + 8 + 0 + 639 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-16806393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16806323) 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 23 ways as a sum of consecutive naturals, for example, 92763 + ... + 92943.

It is an arithmetic number, because the mean of its divisors is an integer number (1098100).

Almost surely, 216806393 is an apocalyptic number.

It is an amenable number.

16806393 is a deficient number, since it is larger than the sum of its proper divisors (9548007).

16806393 is an equidigital number, since it uses as much as digits as its factorization.

16806393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 16806393 is about 4099.5600983520. The cubic root of 16806393 is about 256.1483159514.

The spelling of 16806393 in words is "sixteen million, eight hundred six thousand, three hundred ninety-three".

Divisors: 1 3 9 19 27 57 171 181 513 543 1629 3439 4887 10317 30951 32761 92853 98283 294849 622459 884547 1867377 5602131 16806393