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204321040 = 24571141809
BaseRepresentation
bin11000010110110…
…11000100010000
3112020110120202221
430023123010100
5404301233130
632135150424
75030462110
oct1413330420
9466416687
10204321040
11a5374470
1258515414
133343b031
141d1c9040
1512e0e87a
hexc2db110

204321040 has 160 divisors (see below), whose sum is σ = 607461120. Its totient is φ = 62054400.

The previous prime is 204320971. The next prime is 204321043. The reversal of 204321040 is 40123402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (204321043) 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, 252156 + ... + 252964.

It is an arithmetic number, because the mean of its divisors is an integer number (3796632).

Almost surely, 2204321040 is an apocalyptic number.

204321040 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 204321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303730560).

204321040 is an abundant number, since it is smaller than the sum of its proper divisors (403140080).

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

204321040 is a wasteful number, since it uses less digits than its factorization.

204321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 204321040 is about 14294.0910868792. The cubic root of 204321040 is about 588.9851749261.

Adding to 204321040 its reverse (40123402), we get a palindrome (244444442).

The spelling of 204321040 in words is "two hundred four million, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 41 44 55 56 70 77 80 82 88 110 112 140 154 164 176 205 220 280 287 308 328 385 410 440 451 560 574 616 656 770 809 820 880 902 1148 1232 1435 1540 1618 1640 1804 2255 2296 2870 3080 3157 3236 3280 3608 4045 4510 4592 5663 5740 6160 6314 6472 7216 8090 8899 9020 11326 11480 12628 12944 15785 16180 17798 18040 22652 22960 25256 28315 31570 32360 33169 35596 36080 44495 45304 50512 56630 62293 63140 64720 66338 71192 88990 90608 113260 124586 126280 132676 142384 165845 177980 226520 232183 249172 252560 265352 311465 331690 355960 364859 453040 464366 498344 530704 622930 663380 711920 729718 928732 996688 1160915 1245860 1326760 1459436 1824295 1857464 2321830 2491720 2554013 2653520 2918872 3648590 3714928 4643660 4983440 5108026 5837744 7297180 9287320 10216052 12770065 14594360 18574640 20432104 25540130 29188720 40864208 51080260 102160520 204321040