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73206133 = 7111373133
BaseRepresentation
bin1000101110100…
…00100101110101
312002202020221021
410113100211311
5122220044013
611133021141
71546145650
oct427204565
9162666837
1073206133
1138360940
12206247b1
1312221c50
149a18897
156660a8d
hex45d0975

73206133 has 16 divisors (see below), whose sum is σ = 98292096. Its totient is φ = 52655040.

The previous prime is 73206103. The next prime is 73206137. The reversal of 73206133 is 33160237.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-73206133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73206098 and 73206107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73206137) 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 15 ways as a sum of consecutive naturals, for example, 35566 + ... + 37567.

It is an arithmetic number, because the mean of its divisors is an integer number (6143256).

Almost surely, 273206133 is an apocalyptic number.

It is an amenable number.

73206133 is a deficient number, since it is larger than the sum of its proper divisors (25085963).

73206133 is a wasteful number, since it uses less digits than its factorization.

73206133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73164.

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 73206133 is about 8556.0582630087. The cubic root of 73206133 is about 418.3269288219.

The spelling of 73206133 in words is "seventy-three million, two hundred six thousand, one hundred thirty-three".

Divisors: 1 7 11 13 77 91 143 1001 73133 511931 804463 950729 5631241 6655103 10458019 73206133