Search a number
-
+
132352032 = 2533374091
BaseRepresentation
bin1111110001110…
…00100000100000
3100020001011212010
413320320200200
5232340231112
621044432520
73164654661
oct770704040
9306034763
10132352032
116878904a
12383a8740
1321560217
1413813368
15b94563c
hex7e38820

132352032 has 48 divisors (see below), whose sum is σ = 348540192. Its totient is φ = 43975680.

The previous prime is 132352019. The next prime is 132352039. The reversal of 132352032 is 230253231.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (132352039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30307 + ... + 34397.

It is an arithmetic number, because the mean of its divisors is an integer number (7261254).

Almost surely, 2132352032 is an apocalyptic number.

132352032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132352032 is an abundant number, since it is smaller than the sum of its proper divisors (216188160).

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

132352032 is a wasteful number, since it uses less digits than its factorization.

132352032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 132352032 is about 11504.4353186065. The cubic root of 132352032 is about 509.6165668516.

The spelling of 132352032 in words is "one hundred thirty-two million, three hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 337 674 1011 1348 2022 2696 4044 4091 5392 8088 8182 10784 12273 16176 16364 24546 32352 32728 49092 65456 98184 130912 196368 392736 1378667 2757334 4136001 5514668 8272002 11029336 16544004 22058672 33088008 44117344 66176016 132352032