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200380950 = 232527115783
BaseRepresentation
bin10111111000110…
…01001000010110
3111222001101222200
423330121020112
5402244142300
631514505330
74652132010
oct1374311026
9458041880
10200380950
11a31231a0
1257135246
133268b813
141c8811b0
15128d2200
hexbf19216

200380950 has 144 divisors (see below), whose sum is σ = 671314176. Its totient is φ = 41630400.

The previous prime is 200380879. The next prime is 200380963. The reversal of 200380950 is 59083002.

200380950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31759 + ... + 37541.

It is an arithmetic number, because the mean of its divisors is an integer number (4661904).

Almost surely, 2200380950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200380950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335657088).

200380950 is an abundant number, since it is smaller than the sum of its proper divisors (470933226).

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

200380950 is a wasteful number, since it uses less digits than its factorization.

200380950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5819 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 200380950 is about 14155.5978326597. The cubic root of 200380950 is about 585.1746136653.

The spelling of 200380950 in words is "two hundred million, three hundred eighty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 25 30 33 35 42 45 50 55 63 66 70 75 77 90 99 105 110 126 150 154 165 175 198 210 225 231 275 315 330 350 385 450 462 495 525 550 630 693 770 825 990 1050 1155 1386 1575 1650 1925 2310 2475 3150 3465 3850 4950 5775 5783 6930 11550 11566 17325 17349 28915 34650 34698 40481 52047 57830 63613 80962 86745 104094 121443 127226 144575 173490 190839 202405 242886 260235 289150 318065 364329 381678 404810 433725 445291 520470 572517 607215 636130 728658 867450 890582 954195 1012025 1145034 1214430 1301175 1335873 1590325 1821645 1908390 2024050 2226455 2602350 2671746 2862585 3036075 3180650 3643290 4007619 4452910 4770975 5725170 6072150 6679365 8015238 9108225 9541950 11132275 13358730 14312925 18216450 20038095 22264550 28625850 33396825 40076190 66793650 100190475 200380950