Search a number
-
+
5609180 = 2251929509
BaseRepresentation
bin10101011001011011011100
3101112222100102
4111121123130
52413443210
6320120232
765451203
oct25313334
911488312
105609180
113191295
121a66078
131215155
14a6023a
1575bea5
hex5596dc

5609180 has 48 divisors (see below), whose sum is σ = 12852000. Its totient is φ = 2048256.

The previous prime is 5609143. The next prime is 5609183. The reversal of 5609180 is 819065.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5609183) 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 15 ways as a sum of consecutive naturals, for example, 10766 + ... + 11274.

It is an arithmetic number, because the mean of its divisors is an integer number (267750).

Almost surely, 25609180 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 5609180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426000).

5609180 is an abundant number, since it is smaller than the sum of its proper divisors (7242820).

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

5609180 is a wasteful number, since it uses less digits than its factorization.

5609180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 5609180 is about 2368.3707480038. The cubic root of 5609180 is about 177.6777825970.

The spelling of 5609180 in words is "five million, six hundred nine thousand, one hundred eighty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 509 551 580 1018 1102 2036 2204 2545 2755 5090 5510 9671 10180 11020 14761 19342 29522 38684 48355 59044 73805 96710 147610 193420 280459 295220 560918 1121836 1402295 2804590 5609180