Search a number
-
+
199087320 = 233519293011
BaseRepresentation
bin10111101110111…
…01010011011000
3111212121200110110
423313131103120
5401431243240
631431044320
74635133335
oct1367352330
9455550413
10199087320
11a241a283
12568106a0
1332327a63
141c62598c
1512728c80
hexbddd4d8

199087320 has 128 divisors (see below), whose sum is σ = 650592000. Its totient is φ = 48545280.

The previous prime is 199087283. The next prime is 199087321. The reversal of 199087320 is 23780991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199087321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64615 + ... + 67625.

It is an arithmetic number, because the mean of its divisors is an integer number (5082750).

Almost surely, 2199087320 is an apocalyptic number.

199087320 is a gapful number since it is divisible by the number (10) 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 199087320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325296000).

199087320 is an abundant number, since it is smaller than the sum of its proper divisors (451504680).

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

199087320 is a wasteful number, since it uses less digits than its factorization.

199087320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 199087320 is about 14109.8306155673. The cubic root of 199087320 is about 583.9126268861.

The spelling of 199087320 in words is "one hundred ninety-nine million, eighty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 29 30 38 40 57 58 60 76 87 95 114 116 120 145 152 174 190 228 232 285 290 348 380 435 456 551 570 580 696 760 870 1102 1140 1160 1653 1740 2204 2280 2755 3011 3306 3480 4408 5510 6022 6612 8265 9033 11020 12044 13224 15055 16530 18066 22040 24088 30110 33060 36132 45165 57209 60220 66120 72264 87319 90330 114418 120440 171627 174638 180660 228836 261957 286045 343254 349276 361320 436595 457672 523914 572090 686508 698552 858135 873190 1047828 1144180 1309785 1373016 1659061 1716270 1746380 2095656 2288360 2619570 3318122 3432540 3492760 4977183 5239140 6636244 6865080 8295305 9954366 10478280 13272488 16590610 19908732 24885915 33181220 39817464 49771830 66362440 99543660 199087320