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204321420 = 223352316451
BaseRepresentation
bin11000010110110…
…11001010001100
3112020110121022000
430023123022030
5404301241140
632135152300
75030463162
oct1413331214
9466417260
10204321420
11a5374786
1258515690
133343b264
141d1c9232
1512e0ea30
hexc2db28c

204321420 has 96 divisors (see below), whose sum is σ = 663344640. Its totient is φ = 52113600.

The previous prime is 204321367. The next prime is 204321427. The reversal of 204321420 is 24123402.

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

It is a junction number, because it is equal to n+sod(n) for n = 204321393 and 204321402.

It is not an unprimeable number, because it can be changed into a prime (204321427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4195 + ... + 20645.

It is an arithmetic number, because the mean of its divisors is an integer number (6909840).

Almost surely, 2204321420 is an apocalyptic number.

204321420 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 204321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331672320).

204321420 is an abundant number, since it is smaller than the sum of its proper divisors (459023220).

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

204321420 is a wasteful number, since it uses less digits than its factorization.

204321420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16492 (or 16484 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204321420 is about 14294.1043790788. The cubic root of 204321420 is about 588.9855400610.

Adding to 204321420 its reverse (24123402), we get a palindrome (228444822).

The spelling of 204321420 in words is "two hundred four million, three hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 16451 32902 49353 65804 82255 98706 148059 164510 197412 246765 296118 329020 378373 444177 493530 592236 740295 756746 888354 987060 1135119 1480590 1513492 1776708 1891865 2220885 2270238 2961180 3405357 3783730 4441770 4540476 5675595 6810714 7567460 8883540 10216071 11351190 13621428 17026785 20432142 22702380 34053570 40864284 51080355 68107140 102160710 204321420