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204205420 = 225411311901
BaseRepresentation
bin11000010101111…
…10110101101100
3112020020201011201
430022332311230
5404234033140
632132455244
75026501036
oct1412766554
9466221151
10204205420
11a52a5611
125847a524
13333ca513
141d198c56
1512dda49a
hexc2bed6c

204205420 has 48 divisors (see below), whose sum is σ = 442876896. Its totient is φ = 79040000.

The previous prime is 204205381. The next prime is 204205433. The reversal of 204205420 is 24502402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106470 + ... + 108370.

It is an arithmetic number, because the mean of its divisors is an integer number (9226602).

Almost surely, 2204205420 is an apocalyptic number.

204205420 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 204205420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221438448).

204205420 is an abundant number, since it is smaller than the sum of its proper divisors (238671476).

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

204205420 is a wasteful number, since it uses less digits than its factorization.

204205420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 204205420 is about 14290.0461860695. The cubic root of 204205420 is about 588.8740567972.

Adding to 204205420 its reverse (24502402), we get a palindrome (228707822).

The spelling of 204205420 in words is "two hundred four million, two hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 131 164 205 262 410 524 655 820 1310 1901 2620 3802 5371 7604 9505 10742 19010 21484 26855 38020 53710 77941 107420 155882 249031 311764 389705 498062 779410 996124 1245155 1558820 2490310 4980620 10210271 20420542 40841084 51051355 102102710 204205420