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204056580 = 2235721319281
BaseRepresentation
bin11000010100110…
…10100000000100
3112012222011000010
430022122200010
5404214302310
632125350220
75025311100
oct1412324004
9465864003
10204056580
11a5203802
1258408370
1333377850
141d15a900
1512dab320
hexc29a804

204056580 has 288 divisors, whose sum is σ = 756120960. Its totient is φ = 40642560.

The previous prime is 204056509. The next prime is 204056639. The reversal of 204056580 is 85650402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 726040 + ... + 726320.

It is an arithmetic number, because the mean of its divisors is an integer number (2625420).

Almost surely, 2204056580 is an apocalyptic number.

204056580 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 204056580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378060480).

204056580 is an abundant number, since it is smaller than the sum of its proper divisors (552064380).

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

204056580 is a wasteful number, since it uses less digits than its factorization.

204056580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 204056580 is about 14284.8374159456. The cubic root of 204056580 is about 588.7309503801.

The spelling of 204056580 in words is "two hundred four million, fifty-six thousand, five hundred eighty".