Search a number
-
+
546205104 = 2432172389109
BaseRepresentation
bin100000100011100…
…110110110110000
31102001210002112200
4200203212312300
52104312030404
6130111023200
716351444464
oct4043466660
91361702480
10546205104
11260355a85
12132b0ab00
13892120b3
14527824a4
1532e43839
hex208e6db0

546205104 has 240 divisors, whose sum is σ = 1723550400. Its totient is φ = 160579584.

The previous prime is 546205091. The next prime is 546205129. The reversal of 546205104 is 401502645.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5011002 + ... + 5011110.

It is an arithmetic number, because the mean of its divisors is an integer number (7181460).

Almost surely, 2546205104 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 546205104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861775200).

546205104 is an abundant number, since it is smaller than the sum of its proper divisors (1177345296).

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

546205104 is a wasteful number, since it uses less digits than its factorization.

546205104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 546205104 is about 23371.0312994527. The cubic root of 546205104 is about 817.4325326585.

Adding to 546205104 its reverse (401502645), we get a palindrome (947707749).

The spelling of 546205104 in words is "five hundred forty-six million, two hundred five thousand, one hundred four".