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198696960 = 2133257211
BaseRepresentation
bin10111101011111…
…10000000000000
3111211212211222200
423311332000000
5401331300320
631414433200
74631616300
oct1365760000
9454784880
10198696960
11a2182a70
1256662800
133221c187
141c563600
151269d290
hexbd7e000

198696960 has 504 divisors, whose sum is σ = 874065816. Its totient is φ = 41287680.

The previous prime is 198696943. The next prime is 198696989. The reversal of 198696960 is 69696891.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 198696897 and 198696906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18063355 + ... + 18063365.

Almost surely, 2198696960 is an apocalyptic number.

198696960 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 198696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437032908).

198696960 is an abundant number, since it is smaller than the sum of its proper divisors (675368856).

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

198696960 is a wasteful number, since it uses less digits than its factorization.

198696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 198696960 is about 14095.9909194068. The cubic root of 198696960 is about 583.5307420753.

The spelling of 198696960 in words is "one hundred ninety-eight million, six hundred ninety-six thousand, nine hundred sixty".