Search a number
-
+
55060200 = 233252132181
BaseRepresentation
bin1101001000001…
…0011011101000
310211121100101200
43102002123220
5103043411300
65244044200
71236001236
oct322023350
9124540350
1055060200
11290975a8
1216533660
13b53a700
147453956
154c79200
hex34826e8

55060200 has 216 divisors, whose sum is σ = 201334770. Its totient is φ = 13478400.

The previous prime is 55060193. The next prime is 55060219. The reversal of 55060200 is 206055.

It can be written as a sum of positive squares in 9 ways, for example, as 11737476 + 43322724 = 3426^2 + 6582^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 53 ways as a sum of consecutive naturals, for example, 304110 + ... + 304290.

Almost surely, 255060200 is an apocalyptic number.

55060200 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 55060200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100667385).

55060200 is an abundant number, since it is smaller than the sum of its proper divisors (146274570).

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

55060200 is a wasteful number, since it uses less digits than its factorization.

55060200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 55060200 is about 7420.2560602718. The cubic root of 55060200 is about 380.4339456284.

Adding to 55060200 its reverse (206055), we get a palindrome (55266255).

The spelling of 55060200 in words is "fifty-five million, sixty thousand, two hundred".