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133207056 = 24321934793
BaseRepresentation
bin1111111000010…
…01010000010000
3100021122121201200
413330021100100
5233100111211
621115031200
73205145523
oct774112020
9307577650
10133207056
1169212484
123873b500
132179c458
1413996bba
15ba63b56
hex7f09410

133207056 has 60 divisors (see below), whose sum is σ = 374804508. Its totient is φ = 44163072.

The previous prime is 133207037. The next prime is 133207079. The reversal of 133207056 is 650702331.

It is a happy number.

133207056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 75690000 + 57517056 = 8700^2 + 7584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25396 + ... + 30188.

Almost surely, 2133207056 is an apocalyptic number.

133207056 is a gapful number since it is divisible by the number (16) 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 133207056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187402254).

133207056 is an abundant number, since it is smaller than the sum of its proper divisors (241597452).

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

133207056 is a wasteful number, since it uses less digits than its factorization.

133207056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 133207056 is about 11541.5361195986. The cubic root of 133207056 is about 510.7116248014.

Adding to 133207056 its reverse (650702331), we get a palindrome (783909387).

The spelling of 133207056 in words is "one hundred thirty-three million, two hundred seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 579 772 1158 1544 1737 2316 3088 3474 4632 4793 6948 9264 9586 13896 14379 19172 27792 28758 38344 43137 57516 76688 86274 115032 172548 230064 345096 690192 925049 1850098 2775147 3700196 5550294 7400392 8325441 11100588 14800784 16650882 22201176 33301764 44402352 66603528 133207056