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126533601 = 32177311329
BaseRepresentation
bin1111000101010…
…11111111100001
322211002120110200
413202223333201
5224343033401
620320015413
73064342425
oct742537741
9284076420
10126533601
1165474627
1236461569
13202a3a6c
1412b3ab85
15b196686
hex78abfe1

126533601 has 24 divisors (see below), whose sum is σ = 196190280. Its totient is φ = 78299136.

The previous prime is 126533593. The next prime is 126533609. The reversal of 126533601 is 106335621.

126533601 is a `hidden beast` number, since 1 + 2 + 6 + 53 + 3 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (126533593) and next prime (126533609).

It can be written as a sum of positive squares in 4 ways, for example, as 28998225 + 97535376 = 5385^2 + 9876^2 .

It is not a de Polignac number, because 126533601 - 23 = 126533593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (126533609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5505 + ... + 16833.

It is an arithmetic number, because the mean of its divisors is an integer number (8174595).

Almost surely, 2126533601 is an apocalyptic number.

It is an amenable number.

126533601 is a deficient number, since it is larger than the sum of its proper divisors (69656679).

126533601 is a wasteful number, since it uses less digits than its factorization.

126533601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11425 (or 11422 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 126533601 is about 11248.7155266724. The cubic root of 126533601 is about 502.0364954446.

The spelling of 126533601 in words is "one hundred twenty-six million, five hundred thirty-three thousand, six hundred one".

Divisors: 1 3 9 17 51 73 153 219 657 1241 3723 11169 11329 33987 101961 192593 577779 827017 1733337 2481051 7443153 14059289 42177867 126533601