Search a number
-
+
203829990 = 235713197379
BaseRepresentation
bin11000010011000…
…11001011100110
3112012112122011220
430021203023212
5404140024430
632120441210
75023345350
oct1411431346
9465478156
10203829990
11a5069541
1258319206
13332c8680
141d0dc0d0
1512d64110
hexc2632e6

203829990 has 128 divisors (see below), whose sum is σ = 606735360. Its totient is φ = 42674688.

The previous prime is 203829973. The next prime is 203830001. The reversal of 203829990 is 99928302.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 537621 + ... + 537999.

It is an arithmetic number, because the mean of its divisors is an integer number (4740120).

Almost surely, 2203829990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203829990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303367680).

203829990 is an abundant number, since it is smaller than the sum of its proper divisors (402905370).

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

203829990 is a wasteful number, since it uses less digits than its factorization.

203829990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606.

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 203829990 is about 14276.9040761644. The cubic root of 203829990 is about 588.5129553617.

The spelling of 203829990 in words is "two hundred three million, eight hundred twenty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 197 210 273 379 390 394 455 546 591 758 910 985 1137 1182 1365 1379 1895 1970 2274 2561 2653 2730 2758 2955 3790 4137 4927 5122 5306 5685 5910 6895 7683 7959 8274 9854 11370 12805 13265 13790 14781 15366 15918 17927 20685 24635 25610 26530 29562 34489 35854 38415 39795 41370 49270 53781 68978 73905 74663 76830 79590 89635 103467 107562 147810 149326 172445 179270 206934 223989 268905 344890 373315 447978 517335 522641 537810 746630 970619 1034670 1045282 1119945 1567923 1941238 2239890 2613205 2911857 3135846 4853095 5226410 5823714 6794333 7839615 9706190 13588666 14559285 15679230 20382999 29118570 33971665 40765998 67943330 101914995 203829990