Search a number
-
+
559030080 = 26357412029
BaseRepresentation
bin100001010100100…
…001111101000000
31102221220200002210
4201110201331000
52121102430310
6131245542120
716565451210
oct4124417500
91387820083
10559030080
11267615634
12137274940
138ba8273b
1454360240
1534128820
hex21521f40

559030080 has 224 divisors, whose sum is σ = 2078979840. Its totient is φ = 124600320.

The previous prime is 559030001. The next prime is 559030163. The reversal of 559030080 is 80030955.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274506 + ... + 276534.

It is an arithmetic number, because the mean of its divisors is an integer number (9281160).

Almost surely, 2559030080 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 559030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039489920).

559030080 is an abundant number, since it is smaller than the sum of its proper divisors (1519949760).

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

559030080 is a wasteful number, since it uses less digits than its factorization.

559030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 559030080 is about 23643.8169507379. The cubic root of 559030080 is about 823.7809138849.

The spelling of 559030080 in words is "five hundred fifty-nine million, thirty thousand, eighty".