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204024040 = 235111014591
BaseRepresentation
bin11000010100100…
…10100011101000
3112012220111100221
430022102203220
5404212232130
632124535424
75025114163
oct1412224350
9465814327
10204024040
11a5191310
12583b1574
1333365aac
141d14cada
1512da187a
hexc2928e8

204024040 has 64 divisors (see below), whose sum is σ = 505854720. Its totient is φ = 73440000.

The previous prime is 204024013. The next prime is 204024049. The reversal of 204024040 is 40420402.

It is not an unprimeable number, because it can be changed into a prime (204024049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42145 + ... + 46735.

It is an arithmetic number, because the mean of its divisors is an integer number (7903980).

Almost surely, 2204024040 is an apocalyptic number.

204024040 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 204024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252927360).

204024040 is an abundant number, since it is smaller than the sum of its proper divisors (301830680).

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

204024040 is a wasteful number, since it uses less digits than its factorization.

204024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 204024040 is about 14283.6984006244. The cubic root of 204024040 is about 588.6996546098.

Adding to 204024040 its reverse (40420402), we get a palindrome (244444442).

It can be divided in two parts, 20402 and 4040, that added together give a palindrome (24442).

The spelling of 204024040 in words is "two hundred four million, twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 4591 5555 8888 9182 11110 18364 22220 22955 36728 44440 45910 50501 91820 101002 183640 202004 252505 404008 463691 505010 927382 1010020 1854764 2020040 2318455 3709528 4636910 5100601 9273820 10201202 18547640 20402404 25503005 40804808 51006010 102012020 204024040