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198610080 = 25353753211
BaseRepresentation
bin10111101011010…
…00110010100000
3111211201102210220
423311220302200
5401321010310
631412523040
74631105064
oct1365506240
9454642726
10198610080
11a2123769
1256620480
13321bb776
141c53daa4
1512682670
hexbd68ca0

198610080 has 192 divisors, whose sum is σ = 657756288. Its totient is φ = 50319360.

The previous prime is 198610057. The next prime is 198610091. The reversal of 198610080 is 80016891.

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 31 ways as a sum of consecutive naturals, for example, 941175 + ... + 941385.

It is an arithmetic number, because the mean of its divisors is an integer number (3425814).

Almost surely, 2198610080 is an apocalyptic number.

198610080 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 198610080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328878144).

198610080 is an abundant number, since it is smaller than the sum of its proper divisors (459146208).

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

198610080 is a wasteful number, since it uses less digits than its factorization.

198610080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 198610080 is about 14092.9088551654. The cubic root of 198610080 is about 583.4456803113.

The spelling of 198610080 in words is "one hundred ninety-eight million, six hundred ten thousand, eighty".