Search a number
-
+
198596160 = 2632579851
BaseRepresentation
bin10111101011001…
…01011001000000
3111211200201201100
423311211121000
5401320034120
631412334400
74631016360
oct1365453100
9454621640
10198596160
11a2114264
1256614400
13321b5329
141c5389a0
151267d490
hexbd65640

198596160 has 168 divisors, whose sum is σ = 780751296. Its totient is φ = 45388800.

The previous prime is 198596143. The next prime is 198596201. The reversal of 198596160 is 61695891.

It is a tau number, because it is divible by the number of its divisors (168).

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

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 23 ways as a sum of consecutive naturals, for example, 15235 + ... + 25085.

Almost surely, 2198596160 is an apocalyptic number.

198596160 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 198596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390375648).

198596160 is an abundant number, since it is smaller than the sum of its proper divisors (582155136).

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

198596160 is a wasteful number, since it uses less digits than its factorization.

198596160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9881 (or 9868 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 198596160 is about 14092.4149811166. The cubic root of 198596160 is about 583.4320493254.

The spelling of 198596160 in words is "one hundred ninety-eight million, five hundred ninety-six thousand, one hundred sixty".