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204000420 = 223513416379
BaseRepresentation
bin11000010100011…
…00110010100100
3112012212021222010
430022030302210
5404211003140
632124234220
75024655261
oct1412146244
9465767863
10204000420
11a5175598
125839b970
1333358110
141d144268
1512d99880
hexc28cca4

204000420 has 96 divisors (see below), whose sum is σ = 630241920. Its totient is φ = 48983040.

The previous prime is 204000383. The next prime is 204000427. The reversal of 204000420 is 24000402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 204000396 and 204000405.

It is not an unprimeable number, because it can be changed into a prime (204000427) 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 31 ways as a sum of consecutive naturals, for example, 28791 + ... + 35169.

It is an arithmetic number, because the mean of its divisors is an integer number (6565020).

Almost surely, 2204000420 is an apocalyptic number.

204000420 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 204000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315120960).

204000420 is an abundant number, since it is smaller than the sum of its proper divisors (426241500).

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

204000420 is a wasteful number, since it uses less digits than its factorization.

204000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6445 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 204000420 is about 14282.8715600190. The cubic root of 204000420 is about 588.6769356818.

Adding to 204000420 its reverse (24000402), we get a palindrome (228000822).

The spelling of 204000420 in words is "two hundred four million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 390 410 492 533 615 780 820 1066 1230 1599 2132 2460 2665 3198 5330 6379 6396 7995 10660 12758 15990 19137 25516 31895 31980 38274 63790 76548 82927 95685 127580 165854 191370 248781 261539 331708 382740 414635 497562 523078 784617 829270 995124 1046156 1243905 1307695 1569234 1658540 2487810 2615390 3138468 3400007 3923085 4975620 5230780 6800014 7846170 10200021 13600028 15692340 17000035 20400042 34000070 40800084 51000105 68000140 102000210 204000420