Search a number
-
+
204024240 = 24325725783
BaseRepresentation
bin11000010100100…
…10100110110000
3112012220111122100
430022102212300
5404212233430
632124540400
75025114600
oct1412224660
9465814570
10204024240
11a5191482
12583b1700
1333365c04
141d14cc00
1512da1960
hexc2929b0

204024240 has 180 divisors, whose sum is σ = 797185584. Its totient is φ = 46626048.

The previous prime is 204024229. The next prime is 204024281. The reversal of 204024240 is 42420402.

204024240 is a `hidden beast` number, since 20 + 402 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 35 ways as a sum of consecutive naturals, for example, 32389 + ... + 38171.

Almost surely, 2204024240 is an apocalyptic number.

204024240 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 204024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398592792).

204024240 is an abundant number, since it is smaller than the sum of its proper divisors (593161344).

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

204024240 is a wasteful number, since it uses less digits than its factorization.

204024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5816 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 204024240 is about 14283.7054016106. The cubic root of 204024240 is about 588.6998469726.

Adding to 204024240 its reverse (42420402), we get a palindrome (246444642).

It can be divided in two parts, 20402 and 4240, that added together give a palindrome (24642).

The spelling of 204024240 in words is "two hundred four million, twenty-four thousand, two hundred forty".