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133605241 = 7112297577
BaseRepresentation
bin1111111011010…
…10011101111001
3100022101211221021
413331222131321
5233200331431
621131342441
73211424440
oct775523571
9308354837
10133605241
1169464660
12388b1a21
13218ab773
1413a5bd57
15bae1b11
hex7f6a779

133605241 has 16 divisors (see below), whose sum is σ = 167322240. Its totient is φ = 103639680.

The previous prime is 133605239. The next prime is 133605247. The reversal of 133605241 is 142506331.

It is a cyclic number.

It is not a de Polignac number, because 133605241 - 21 = 133605239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133605247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13845 + ... + 21421.

It is an arithmetic number, because the mean of its divisors is an integer number (10457640).

Almost surely, 2133605241 is an apocalyptic number.

133605241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133605241 is a deficient number, since it is larger than the sum of its proper divisors (33716999).

133605241 is a wasteful number, since it uses less digits than its factorization.

133605241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 133605241 is about 11558.7733345715. The cubic root of 133605241 is about 511.2199948117.

The spelling of 133605241 in words is "one hundred thirty-three million, six hundred five thousand, two hundred forty-one".

Divisors: 1 7 11 77 229 1603 2519 7577 17633 53039 83347 583429 1735133 12145931 19086463 133605241