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180828133 = 1735330133
BaseRepresentation
bin10101100011100…
…11011111100101
3110121021000120021
422301303133211
5332243000013
625535435141
74324004503
oct1261633745
9417230507
10180828133
1193088942
1250685ab1
132b603ac5
141a031673
1510d1da8d
hexac737e5

180828133 has 8 divisors (see below), whose sum is σ = 192013848. Its totient is φ = 169703424.

The previous prime is 180828113. The next prime is 180828157. The reversal of 180828133 is 331828081.

It can be written as a sum of positive squares in 4 ways, for example, as 26646244 + 154181889 = 5162^2 + 12417^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-180828133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180828113) 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 7 ways as a sum of consecutive naturals, for example, 9066 + ... + 21067.

It is an arithmetic number, because the mean of its divisors is an integer number (24001731).

Almost surely, 2180828133 is an apocalyptic number.

It is an amenable number.

180828133 is a deficient number, since it is larger than the sum of its proper divisors (11185715).

180828133 is a wasteful number, since it uses less digits than its factorization.

180828133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30503.

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 180828133 is about 13447.2351433297. The cubic root of 180828133 is about 565.4861850085.

The spelling of 180828133 in words is "one hundred eighty million, eight hundred twenty-eight thousand, one hundred thirty-three".

Divisors: 1 17 353 6001 30133 512261 10636949 180828133