Search a number
-
+
16741328 = 2417611009
BaseRepresentation
bin111111110111…
…001111010000
31011111112210012
4333313033100
513241210303
61354454052
7262204352
oct77671720
934445705
1016741328
1194a500a
125734328
133612116
14231b0d2
15170a5d8
hexff73d0

16741328 has 40 divisors (see below), whose sum is σ = 34941960. Its totient is φ = 7741440.

The previous prime is 16741321. The next prime is 16741339. The reversal of 16741328 is 82314761.

It can be written as a sum of positive squares in 4 ways, for example, as 322624 + 16418704 = 568^2 + 4052^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16741294 and 16741303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16741321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16088 + ... + 17096.

It is an arithmetic number, because the mean of its divisors is an integer number (873549).

Almost surely, 216741328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16741328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17470980).

16741328 is an abundant number, since it is smaller than the sum of its proper divisors (18200632).

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

16741328 is a wasteful number, since it uses less digits than its factorization.

16741328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1089 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 16741328 is about 4091.6167953512. The cubic root of 16741328 is about 255.8173338842.

The spelling of 16741328 in words is "sixteen million, seven hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 976 1009 1037 2018 2074 4036 4148 8072 8296 16144 16592 17153 34306 61549 68612 123098 137224 246196 274448 492392 984784 1046333 2092666 4185332 8370664 16741328