Search a number
-
+
199968120 = 233251150497
BaseRepresentation
bin10111110101101…
…00010101111000
3111221021102200200
423322310111320
5402142434440
631502002200
74645462302
oct1372642570
9457242620
10199968120
11a2971010
1256b76360
1332575941
141c7b4972
151284ec30
hexbeb4578

199968120 has 96 divisors (see below), whose sum is σ = 708991920. Its totient is φ = 48476160.

The previous prime is 199968113. The next prime is 199968149. The reversal of 199968120 is 21869991.

199968120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21289 + ... + 29208.

Almost surely, 2199968120 is an apocalyptic number.

199968120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199968120 is an abundant number, since it is smaller than the sum of its proper divisors (509023800).

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

199968120 is a wasteful number, since it uses less digits than its factorization.

199968120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50525 (or 50518 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 199968120 is about 14141.0084506021. The cubic root of 199968120 is about 584.7724734296.

The spelling of 199968120 in words is "one hundred ninety-nine million, nine hundred sixty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 50497 100994 151491 201988 252485 302982 403976 454473 504970 555467 605964 757455 908946 1009940 1110934 1211928 1514910 1666401 1817892 2019880 2221868 2272365 2777335 3029820 3332802 3635784 4443736 4544730 4999203 5554670 6059640 6665604 8332005 9089460 9998406 11109340 13331208 16664010 18178920 19996812 22218680 24996015 33328020 39993624 49992030 66656040 99984060 199968120