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197149680 = 243357131759
BaseRepresentation
bin10111100000001…
…00001111110000
3111201222020112000
423300010033300
5400432242210
631321334000
74612513260
oct1360041760
9451866460
10197149680
11a1316522
1256037300
1331ac9b20
141c27d7a0
1512494ac0
hexbc043f0

197149680 has 640 divisors, whose sum is σ = 899942400. Its totient is φ = 38486016.

The previous prime is 197149661. The next prime is 197149691. The reversal of 197149680 is 86941791.

It is a happy number.

197149680 is a `hidden beast` number, since 19 + 71 + 496 + 80 = 666.

197149680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 140412-1.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3341491 + ... + 3341549.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2197149680 is an apocalyptic number.

197149680 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 197149680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449971200).

197149680 is an abundant number, since it is smaller than the sum of its proper divisors (702792720).

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

197149680 is a wasteful number, since it uses less digits than its factorization.

197149680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 197149680 is about 14040.9999643900. Note that the first 4 decimals coincide. The cubic root of 197149680 is about 582.0121158069.

The spelling of 197149680 in words is "one hundred ninety-seven million, one hundred forty-nine thousand, six hundred eighty".