Search a number
-
+
16616106 = 23213174177
BaseRepresentation
bin111111011000…
…101010101010
31011021012000100
4333120222222
513223203411
61352050230
7261143313
oct77305252
934235010
1016616106
119419a21
125693976
13359a120
1422c760a
1516d3456
hexfd8aaa

16616106 has 48 divisors (see below), whose sum is σ = 41061384. Its totient is φ = 4810752.

The previous prime is 16616099. The next prime is 16616107. The reversal of 16616106 is 60161661.

It can be written as a sum of positive squares in 4 ways, for example, as 16040025 + 576081 = 4005^2 + 759^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16616106.

It is not an unprimeable number, because it can be changed into a prime (16616107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1890 + ... + 6066.

Almost surely, 216616106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16616106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20530692).

16616106 is an abundant number, since it is smaller than the sum of its proper divisors (24445278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16616106 is a wasteful number, since it uses less digits than its factorization.

16616106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4215 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 16616106 is about 4076.2858094103. The cubic root of 16616106 is about 255.1779150544.

Adding to 16616106 its reverse (60161661), we get a palindrome (76777767).

The spelling of 16616106 in words is "sixteen million, six hundred sixteen thousand, one hundred six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 4177 8354 12531 25062 37593 54301 71009 75186 108602 142018 162903 213027 325806 426054 488709 639081 923117 977418 1278162 1846234 2769351 5538702 8308053 16616106