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203840028 = 2232741109181
BaseRepresentation
bin11000010011001…
…01101000011100
3112012120010221200
430021211220130
5404140340103
632120555500
75023416540
oct1411455034
9465503850
10203840028
11a5076037
1258322b90
1333300102
141d101a20
1512d670a3
hexc265a1c

203840028 has 144 divisors (see below), whose sum is σ = 612131520. Its totient is φ = 55987200.

The previous prime is 203840027. The next prime is 203840071. The reversal of 203840028 is 820048302.

203840028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 203839983 and 203840010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203840027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1126098 + ... + 1126278.

Almost surely, 2203840028 is an apocalyptic number.

203840028 is a gapful number since it is divisible by the number (28) 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 203840028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306065760).

203840028 is an abundant number, since it is smaller than the sum of its proper divisors (408291492).

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

203840028 is a wasteful number, since it uses less digits than its factorization.

203840028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 343 counting only the distinct ones).

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

The square root of 203840028 is about 14277.2556186404. The cubic root of 203840028 is about 588.5226160207.

The spelling of 203840028 in words is "two hundred three million, eight hundred forty thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 109 123 126 164 181 218 246 252 287 327 362 369 436 492 543 574 654 724 738 763 861 981 1086 1148 1267 1308 1476 1526 1629 1722 1962 2172 2289 2534 2583 3052 3258 3444 3801 3924 4469 4578 5068 5166 6516 6867 7421 7602 8938 9156 10332 11403 13407 13734 14842 15204 17876 19729 22263 22806 26814 27468 29684 31283 39458 40221 44526 45612 51947 53628 59187 62566 66789 78916 80442 89052 93849 103894 118374 125132 133578 138103 155841 160884 177561 187698 207788 236748 267156 276206 281547 311682 355122 375396 414309 467523 552412 563094 623364 710244 808889 828618 935046 1126188 1242927 1617778 1657236 1870092 2426667 2485854 3235556 4853334 4971708 5662223 7280001 9706668 11324446 14560002 16986669 22648892 29120004 33973338 50960007 67946676 101920014 203840028