Search a number
-
+
5680584 = 2333713172
BaseRepresentation
bin10101101010110111001000
3101200121022000
4111222313020
52423234314
6321431000
766166320
oct25526710
911617260
105680584
11322a9a8
121a9b460
13123b7c0
14a7c280
15773209
hex56adc8

5680584 has 192 divisors, whose sum is σ = 20630400. Its totient is φ = 1410048.

The previous prime is 5680559. The next prime is 5680613. The reversal of 5680584 is 4850865.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334144 + ... + 334160.

It is an arithmetic number, because the mean of its divisors is an integer number (107450).

Almost surely, 25680584 is an apocalyptic number.

5680584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5680584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10315200).

5680584 is an abundant number, since it is smaller than the sum of its proper divisors (14949816).

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

5680584 is a wasteful number, since it uses less digits than its factorization.

5680584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5680584 is about 2383.3975748918. The cubic root of 5680584 is about 178.4285428266.

The spelling of 5680584 in words is "five million, six hundred eighty thousand, five hundred eighty-four".