Search a number
-
+
16957109 = 13172772
BaseRepresentation
bin100000010101…
…1111010110101
31011220111210002
41000223322311
513320111414
61403241045
7264063431
oct100537265
934814702
1016957109
119632144
125819185
1336893c0
1423759c1
15174e4de
hex102beb5

16957109 has 12 divisors (see below), whose sum is σ = 19405764. Its totient is φ = 14678784.

The previous prime is 16957103. The next prime is 16957111. The reversal of 16957109 is 90175961.

16957109 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 6 ways, for example, as 2630884 + 14326225 = 1622^2 + 3785^2 .

It is a de Polignac number, because none of the positive numbers 2k-16957109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16957103) 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 11 ways as a sum of consecutive naturals, for example, 61079 + ... + 61355.

It is an arithmetic number, because the mean of its divisors is an integer number (1617147).

Almost surely, 216957109 is an apocalyptic number.

It is an amenable number.

16957109 is a deficient number, since it is larger than the sum of its proper divisors (2448655).

16957109 is an equidigital number, since it uses as much as digits as its factorization.

16957109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 38.

The square root of 16957109 is about 4117.9010430072. The cubic root of 16957109 is about 256.9117321668.

It can be divided in two parts, 169 and 57109, that multiplied together give a triangular number (9651421 = T4393).

The spelling of 16957109 in words is "sixteen million, nine hundred fifty-seven thousand, one hundred nine".

Divisors: 1 13 17 221 277 3601 4709 61217 76729 997477 1304393 16957109