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197110080 = 2632589769
BaseRepresentation
bin10111011111110…
…10100101000000
3111201220020012100
423233322211000
5400430010310
631320430400
74612256646
oct1357724500
9451806170
10197110080
11a12997a2
1256018400
1331ab4aab
141c26d196
1512487ec0
hexbbfa940

197110080 has 168 divisors, whose sum is σ = 686485800. Its totient is φ = 51904512.

The previous prime is 197110079. The next prime is 197110099. The reversal of 197110080 is 80011791.

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 195105024 = 1416^2 + 13968^2 .

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, 255936 + ... + 256704.

It is an arithmetic number, because the mean of its divisors is an integer number (4086225).

Almost surely, 2197110080 is an apocalyptic number.

197110080 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 197110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343242900).

197110080 is an abundant number, since it is smaller than the sum of its proper divisors (489375720).

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

197110080 is a wasteful number, since it uses less digits than its factorization.

197110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 197110080 is about 14039.5897375956. The cubic root of 197110080 is about 581.9731450392.

The spelling of 197110080 in words is "one hundred ninety-seven million, one hundred ten thousand, eighty".