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203048820 = 2232513194567
BaseRepresentation
bin11000001101001…
…00011101110100
3112011001221121200
430012210131310
5403440030240
632052012500
75013613032
oct1406443564
9464057550
10203048820
11a4685647
1258001130
13330b3c40
141cd77552
1512c5c930
hexc1a4774

203048820 has 144 divisors (see below), whose sum is σ = 698355840. Its totient is φ = 47340288.

The previous prime is 203048819. The next prime is 203048827. The reversal of 203048820 is 28840302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203048827) 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, 42177 + ... + 46743.

Almost surely, 2203048820 is an apocalyptic number.

203048820 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 203048820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349177920).

203048820 is an abundant number, since it is smaller than the sum of its proper divisors (495307020).

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

203048820 is a wasteful number, since it uses less digits than its factorization.

203048820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 203048820 is about 14249.5199919155. The cubic root of 203048820 is about 587.7601756946.

The spelling of 203048820 in words is "two hundred three million, forty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4567 4940 7410 8892 9134 11115 13701 14820 18268 22230 22835 27402 41103 44460 45670 54804 59371 68505 82206 86773 91340 118742 137010 164412 173546 178113 205515 237484 260319 274020 296855 347092 356226 411030 433865 520638 534339 593710 712452 780957 822060 867730 890565 1041276 1068678 1128049 1187420 1301595 1561914 1735460 1781130 2137356 2256098 2603190 2671695 3123828 3384147 3562260 3904785 4512196 5206380 5343390 5640245 6768294 7809570 10152441 10686780 11280490 13536588 15619140 16920735 20304882 22560980 33841470 40609764 50762205 67682940 101524410 203048820