Search a number
-
+
197637440 = 26571113617
BaseRepresentation
bin10111100011110…
…11010101000000
3111202220000121012
423301323111000
5401043344230
631340020052
74616614310
oct1361732500
9452800535
10197637440
11a1619a30
1256231628
1331c3ab40
141c369440
151253e395
hexbc7b540

197637440 has 224 divisors, whose sum is σ = 632911104. Its totient is φ = 56770560.

The previous prime is 197637439. The next prime is 197637443. The reversal of 197637440 is 44736791.

197637440 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197637443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320012 + ... + 320628.

It is an arithmetic number, because the mean of its divisors is an integer number (2825496).

Almost surely, 2197637440 is an apocalyptic number.

197637440 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 197637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316455552).

197637440 is an abundant number, since it is smaller than the sum of its proper divisors (435273664).

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

197637440 is a wasteful number, since it uses less digits than its factorization.

197637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 197637440 is about 14058.3583678892. The cubic root of 197637440 is about 582.4916980157.

The spelling of 197637440 in words is "one hundred ninety-seven million, six hundred thirty-seven thousand, four hundred forty".