Search a number
-
+
5590016 = 21053103
BaseRepresentation
bin10101010100110000000000
3101112000001122
4111110300000
52412340031
6315451412
765341265
oct25246000
911460048
105590016
113178953
121a56b68
131209503
14a5726c
1575647b
hex554c00

5590016 has 44 divisors (see below), whose sum is σ = 11495952. Its totient is φ = 2715648.

The previous prime is 5589977. The next prime is 5590019. The reversal of 5590016 is 6100955.

5590016 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (5590019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54221 + ... + 54323.

Almost surely, 25590016 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 5590016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747976).

5590016 is an abundant number, since it is smaller than the sum of its proper divisors (5905936).

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

5590016 is a wasteful number, since it uses less digits than its factorization.

5590016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 5590016 is about 2364.3214671444. The cubic root of 5590016 is about 177.4752038364.

The spelling of 5590016 in words is "five million, five hundred ninety thousand, sixteen".

Divisors: 1 2 4 8 16 32 53 64 103 106 128 206 212 256 412 424 512 824 848 1024 1648 1696 3296 3392 5459 6592 6784 10918 13184 13568 21836 26368 27136 43672 52736 54272 87344 105472 174688 349376 698752 1397504 2795008 5590016