Search a number
-
+
198095976 = 233313194779
BaseRepresentation
bin10111100111010…
…11010001101000
3111210202022121000
423303223101220
5401203032401
631353515000
74623534201
oct1363532150
9453668530
10198095976
11a1902491
1256412a60
133206b770
141c4485a8
15125d0186
hexbceb468

198095976 has 256 divisors, whose sum is σ = 645120000. Its totient is φ = 55800576.

The previous prime is 198095971. The next prime is 198095999. The reversal of 198095976 is 679590891.

198095976 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 (54).

It is not an unprimeable number, because it can be changed into a prime (198095971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2507505 + ... + 2507583.

It is an arithmetic number, because the mean of its divisors is an integer number (2520000).

Almost surely, 2198095976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198095976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560000).

198095976 is an abundant number, since it is smaller than the sum of its proper divisors (447024024).

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

198095976 is a wasteful number, since it uses less digits than its factorization.

198095976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 198095976 is about 14074.6572249558. The cubic root of 198095976 is about 582.9418271666.

The spelling of 198095976 in words is "one hundred ninety-eight million, ninety-five thousand, nine hundred seventy-six".