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204123420 = 2232517411627
BaseRepresentation
bin11000010101010…
…10110100011100
3112020002112200200
430022222310130
5404223422140
632131023500
75026010004
oct1412526434
9466075620
10204123420
11a5249a46
125843ab90
133339c0b7
141d177004
1512dc1030
hexc2aad1c

204123420 has 144 divisors (see below), whose sum is σ = 671999328. Its totient is φ = 49950720.

The previous prime is 204123401. The next prime is 204123427. The reversal of 204123420 is 24321402.

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 = 204123393 and 204123402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204123427) 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 47 ways as a sum of consecutive naturals, for example, 124647 + ... + 126273.

It is an arithmetic number, because the mean of its divisors is an integer number (4666662).

Almost surely, 2204123420 is an apocalyptic number.

204123420 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 204123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335999664).

204123420 is an abundant number, since it is smaller than the sum of its proper divisors (467875908).

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

204123420 is a wasteful number, since it uses less digits than its factorization.

204123420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1695 counting only the distinct ones).

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

The square root of 204123420 is about 14287.1767679972. The cubic root of 204123420 is about 588.7952241891.

Adding to 204123420 its reverse (24321402), we get a palindrome (228444822).

It can be divided in two parts, 20412 and 3420, that added together give a palindrome (23832).

The spelling of 204123420 in words is "two hundred four million, one hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 41 45 51 60 68 82 85 90 102 123 153 164 170 180 204 205 246 255 306 340 369 410 492 510 612 615 697 738 765 820 1020 1230 1394 1476 1530 1627 1845 2091 2460 2788 3060 3254 3485 3690 4182 4881 6273 6508 6970 7380 8135 8364 9762 10455 12546 13940 14643 16270 19524 20910 24405 25092 27659 29286 31365 32540 41820 48810 55318 58572 62730 66707 73215 82977 97620 110636 125460 133414 138295 146430 165954 200121 248931 266828 276590 292860 331908 333535 400242 414885 497862 553180 600363 667070 800484 829770 995724 1000605 1134019 1200726 1244655 1334140 1659540 2001210 2268038 2401452 2489310 3001815 3402057 4002420 4536076 4978620 5670095 6003630 6804114 10206171 11340190 12007260 13608228 17010285 20412342 22680380 34020570 40824684 51030855 68041140 102061710 204123420