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191668680 = 233757313
BaseRepresentation
bin10110110110010…
…10000111001000
3111100122210000000
423123022013020
5343031344210
631004043000
74515104550
oct1333120710
9440583000
10191668680
1199212575
1254233460
133092b128
141b654160
1511c60ac0
hexb6ca1c8

191668680 has 256 divisors, whose sum is σ = 741542400. Its totient is φ = 43670016.

The previous prime is 191668669. The next prime is 191668681. The reversal of 191668680 is 86866191.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (191668681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612204 + ... + 612516.

It is an arithmetic number, because the mean of its divisors is an integer number (2896650).

Almost surely, 2191668680 is an apocalyptic number.

191668680 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 191668680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370771200).

191668680 is an abundant number, since it is smaller than the sum of its proper divisors (549873720).

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

191668680 is an equidigital number, since it uses as much as digits as its factorization.

191668680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 191668680 is about 13844.4458177278. The cubic root of 191668680 is about 576.5677994754.

The spelling of 191668680 in words is "one hundred ninety-one million, six hundred sixty-eight thousand, six hundred eighty".