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196771680 = 253657241
BaseRepresentation
bin10111011101001…
…11111101100000
3111201021001000000
423232213331200
5400333143210
631305300000
74606350240
oct1356477540
9451231000
10196771680
11a1088526
1255a94600
13319c6a61
141c1c1b20
151241cac0
hexbba7f60

196771680 has 336 divisors, whose sum is σ = 799866144. Its totient is φ = 44789760.

The previous prime is 196771643. The next prime is 196771691. The reversal of 196771680 is 86177691.

It is a tau number, because it is divible by the number of its divisors (336).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816360 + ... + 816600.

It is an arithmetic number, because the mean of its divisors is an integer number (2380554).

Almost surely, 2196771680 is an apocalyptic number.

196771680 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 196771680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399933072).

196771680 is an abundant number, since it is smaller than the sum of its proper divisors (603094464).

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

196771680 is an equidigital number, since it uses as much as digits as its factorization.

196771680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 196771680 is about 14027.5329263559. The cubic root of 196771680 is about 581.6399090417.

The spelling of 196771680 in words is "one hundred ninety-six million, seven hundred seventy-one thousand, six hundred eighty".