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203893380 = 223255973263
BaseRepresentation
bin11000010011100…
…10101010000100
3112012122212010200
430021302222010
5404144042010
632122050500
75024031225
oct1411625204
9465585120
10203893380
11a5102129
1258349a30
133331b492
141d11724c
1512d77cc0
hexc272a84

203893380 has 144 divisors (see below), whose sum is σ = 639999360. Its totient is φ = 52517376.

The previous prime is 203893357. The next prime is 203893381. The reversal of 203893380 is 83398302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (203893381) 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 47 ways as a sum of consecutive naturals, for example, 775129 + ... + 775391.

It is an arithmetic number, because the mean of its divisors is an integer number (4444440).

Almost surely, 2203893380 is an apocalyptic number.

203893380 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 203893380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319999680).

203893380 is an abundant number, since it is smaller than the sum of its proper divisors (436105980).

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

203893380 is a wasteful number, since it uses less digits than its factorization.

203893380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 203893380 is about 14279.1239227062. The cubic root of 203893380 is about 588.5739571302.

The spelling of 203893380 in words is "two hundred three million, eight hundred ninety-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 73 90 118 146 177 180 219 236 263 292 295 354 365 438 526 531 590 657 708 730 789 876 885 1052 1062 1095 1180 1314 1315 1460 1578 1770 2124 2190 2367 2628 2630 2655 3156 3285 3540 3945 4307 4380 4734 5260 5310 6570 7890 8614 9468 10620 11835 12921 13140 15517 15780 17228 19199 21535 23670 25842 31034 38398 38763 43070 46551 47340 51684 57597 62068 64605 76796 77526 77585 86140 93102 95995 115194 129210 139653 155052 155170 172791 186204 191990 193815 230388 232755 258420 279306 287985 310340 345582 383980 387630 465510 558612 575970 691164 698265 775260 863955 931020 1132741 1151940 1396530 1727910 2265482 2793060 3398223 3455820 4530964 5663705 6796446 10194669 11327410 13592892 16991115 20389338 22654820 33982230 40778676 50973345 67964460 101946690 203893380