Search a number
-
+
204603120 = 243252941239
BaseRepresentation
bin11000011000111…
…11111011110000
3112020222220201100
430030133323300
5404334244440
632145204400
75033045361
oct1414377360
9466886640
10204603120
11a5547397
1258630700
1333509547
141d25db68
1512e68230
hexc31fef0

204603120 has 240 divisors, whose sum is σ = 731203200. Its totient is φ = 51179520.

The previous prime is 204603107. The next prime is 204603163. The reversal of 204603120 is 21306402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 204603093 and 204603102.

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, 855961 + ... + 856199.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2204603120 is an apocalyptic number.

204603120 is a gapful number since it is divisible by the number (20) 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 204603120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365601600).

204603120 is an abundant number, since it is smaller than the sum of its proper divisors (526600080).

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

204603120 is a wasteful number, since it uses less digits than its factorization.

204603120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 204603120 is about 14303.9546979148. The cubic root of 204603120 is about 589.2560958589.

Adding to 204603120 its reverse (21306402), we get a palindrome (225909522).

The spelling of 204603120 in words is "two hundred four million, six hundred three thousand, one hundred twenty".