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203205420 = 2232511176037
BaseRepresentation
bin11000001110010…
…10101100101100
3112011100220102200
430013022230230
5404010033140
632055221500
75015134425
oct1407125454
9464326380
10203205420
11a4782270
1258077890
133313a2c2
141cdb864c
1512c8e030
hexc1cab2c

203205420 has 144 divisors (see below), whose sum is σ = 712097568. Its totient is φ = 46356480.

The previous prime is 203205419. The next prime is 203205421. The reversal of 203205420 is 24502302.

It is an interprime number because it is at equal distance from previous prime (203205419) and next prime (203205421).

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 = 203205393 and 203205402.

It is not an unprimeable number, because it can be changed into a prime (203205421) 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, 30642 + ... + 36678.

It is an arithmetic number, because the mean of its divisors is an integer number (4945122).

Almost surely, 2203205420 is an apocalyptic number.

203205420 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 203205420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356048784).

203205420 is an abundant number, since it is smaller than the sum of its proper divisors (508892148).

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

203205420 is a wasteful number, since it uses less digits than its factorization.

203205420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 203205420 is about 14255.0138547811. The cubic root of 203205420 is about 587.9112388578.

Adding to 203205420 its reverse (24502302), we get a palindrome (227707722).

The spelling of 203205420 in words is "two hundred three million, two hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6037 6732 8415 11220 12074 16830 18111 24148 30185 33660 36222 54333 60370 66407 72444 90555 102629 108666 120740 132814 181110 199221 205258 217332 265628 271665 307887 332035 362220 398442 410516 513145 543330 597663 615774 664070 796884 923661 996105 1026290 1086660 1128919 1195326 1231548 1328140 1539435 1847322 1992210 2052580 2257838 2390652 2988315 3078870 3386757 3694644 3984420 4515676 4618305 5644595 5976630 6157740 6773514 9236610 10160271 11289190 11953260 13547028 16933785 18473220 20320542 22578380 33867570 40641084 50801355 67735140 101602710 203205420