Search a number
-
+
16965309 = 319367811
BaseRepresentation
bin100000010110…
…1111010111101
31011220221000210
41000231322331
513320342214
61403343033
7264126354
oct100557275
934827023
1016965309
119638319
125821a79
13369005a
14237899b
151751b59
hex102debd

16965309 has 16 divisors (see below), whose sum is σ = 23905280. Its totient is φ = 10672560.

The previous prime is 16965307. The next prime is 16965383. The reversal of 16965309 is 90356961.

It is not a de Polignac number, because 16965309 - 21 = 16965307 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16965307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20514 + ... + 21324.

It is an arithmetic number, because the mean of its divisors is an integer number (1494080).

Almost surely, 216965309 is an apocalyptic number.

16965309 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

16965309 is the 2202-nd nonagonal number.

It is an amenable number.

16965309 is a deficient number, since it is larger than the sum of its proper divisors (6939971).

16965309 is a wasteful number, since it uses less digits than its factorization.

16965309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200.

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 16965309 is about 4118.8965755406. The cubic root of 16965309 is about 256.9531373521.

The spelling of 16965309 in words is "sixteen million, nine hundred sixty-five thousand, three hundred nine".

Divisors: 1 3 19 57 367 811 1101 2433 6973 15409 20919 46227 297637 892911 5655103 16965309