Search a number
-
+
171132032 = 274132609
BaseRepresentation
bin10100011001101…
…00010010000000
3102221000102000102
422030310102000
5322302211112
624551541532
74145412131
oct1214642200
9387012012
10171132032
1188666035
124938a8a8
13295ba676
1418a29c88
1510055bc2
hexa334480

171132032 has 32 divisors (see below), whose sum is σ = 349253100. Its totient is φ = 83476480.

The previous prime is 171132001. The next prime is 171132053. The reversal of 171132032 is 230231171.

It can be written as a sum of positive squares in 2 ways, for example, as 164454976 + 6677056 = 12824^2 + 2584^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 171131995 and 171132013.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11057 + ... + 21552.

Almost surely, 2171132032 is an apocalyptic number.

It is an amenable number.

171132032 is an abundant number, since it is smaller than the sum of its proper divisors (178121068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

171132032 is an equidigital number, since it uses as much as digits as its factorization.

171132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32664 (or 32652 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 171132032 is about 13081.7442262108. The cubic root of 171132032 is about 555.1927280231.

The spelling of 171132032 in words is "one hundred seventy-one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 32609 65218 130436 260872 521744 1043488 1336969 2086976 2673938 4173952 5347876 10695752 21391504 42783008 85566016 171132032