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180528133 = 1817691297
BaseRepresentation
bin10101100001010…
…10010000000101
3110120200210001011
422300222100011
5332203400013
625525202221
74321315042
oct1260522005
9416623034
10180528133
11929a3505
1250560371
132b52a3a6
1419d941c9
1510caec3d
hexac2a405

180528133 has 8 divisors (see below), whose sum is σ = 181901720. Its totient is φ = 179159040.

The previous prime is 180528119. The next prime is 180528181. The reversal of 180528133 is 331825081.

It can be written as a sum of positive squares in 4 ways, for example, as 22724289 + 157803844 = 4767^2 + 12562^2 .

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-180528133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 180528095 and 180528104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180528433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138541 + ... + 139837.

It is an arithmetic number, because the mean of its divisors is an integer number (22737715).

Almost surely, 2180528133 is an apocalyptic number.

It is an amenable number.

180528133 is a deficient number, since it is larger than the sum of its proper divisors (1373587).

180528133 is a wasteful number, since it uses less digits than its factorization.

180528133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 180528133 is about 13436.0758035968. The cubic root of 180528133 is about 565.1732916636.

The spelling of 180528133 in words is "one hundred eighty million, five hundred twenty-eight thousand, one hundred thirty-three".

Divisors: 1 181 769 1297 139189 234757 997393 180528133