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197120440 = 235111719273
BaseRepresentation
bin10111011111111…
…01000110111000
3111201220202102001
423233331012320
5400430323230
631320550344
74612332106
oct1357750670
9451822361
10197120440
11a12a6560
12560223b4
1331ab971a
141c272c76
151248b0ca
hexbbfd1b8

197120440 has 192 divisors, whose sum is σ = 548091360. Its totient is φ = 63037440.

The previous prime is 197120431. The next prime is 197120447. The reversal of 197120440 is 44021791.

197120440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

197120440 is a nontrivial binomial coefficient, being equal to C(19856, 2).

It is a junction number, because it is equal to n+sod(n) for n = 197120399 and 197120408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197120447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2700244 + ... + 2700316.

Almost surely, 2197120440 is an apocalyptic number.

197120440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

197120440 is the 19855-th triangular number and also the 9928-th hexagonal number.

197120440 is the 6619-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274045680).

197120440 is an abundant number, since it is smaller than the sum of its proper divisors (350970920).

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

197120440 is a wasteful number, since it uses less digits than its factorization.

197120440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 197120440 is about 14039.9586893979. The cubic root of 197120440 is about 581.9833409260.

The spelling of 197120440 in words is "one hundred ninety-seven million, one hundred twenty thousand, four hundred forty".