Search a number
-
+
5880000 = 2635472
BaseRepresentation
bin10110011011100011000000
3102001201211210
4112123203000
53001130000
6330010120
7100656600
oct26334300
912051753
105880000
113356805
121b76940
1312ab4b9
14ad0c00
157b2350
hex59b8c0

5880000 has 210 divisors, whose sum is σ = 22614636. Its totient is φ = 1344000.

The previous prime is 5879983. The next prime is 5880023. The reversal of 5880000 is 885.

It is a tau number, because it is divible by the number of its divisors (210).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 839997 + ... + 840003.

Almost surely, 25880000 is an apocalyptic number.

5880000 is a gapful number since it is divisible by the number (50) 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 5880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11307318).

5880000 is an abundant number, since it is smaller than the sum of its proper divisors (16734636).

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

5880000 is an equidigital number, since it uses as much as digits as its factorization.

5880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 5880000 is about 2424.8711305964. The cubic root of 5880000 is about 180.4924785145.

Adding to 5880000 its reverse (885), we get a palindrome (5880885).

The spelling of 5880000 in words is "five million, eight hundred eighty thousand".