Search a number
-
+
132288072 = 2337787429
BaseRepresentation
bin1111110001010…
…00111001001000
3100012220221010020
413320220321020
5232331204242
621043220440
73164300340
oct770507110
9305827106
10132288072
1168744a94
1238377720
132153a087
14137d7d20
15b9316ec
hex7e28e48

132288072 has 32 divisors (see below), whose sum is σ = 377966400. Its totient is φ = 37796544.

The previous prime is 132288071. The next prime is 132288097. The reversal of 132288072 is 270882231.

It is not an unprimeable number, because it can be changed into a prime (132288071) 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 7 ways as a sum of consecutive naturals, for example, 393547 + ... + 393882.

It is an arithmetic number, because the mean of its divisors is an integer number (11811450).

Almost surely, 2132288072 is an apocalyptic number.

132288072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132288072 is an abundant number, since it is smaller than the sum of its proper divisors (245678328).

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

132288072 is a wasteful number, since it uses less digits than its factorization.

132288072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787445 (or 787441 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 132288072 is about 11501.6551852331. The cubic root of 132288072 is about 509.5344617587.

The spelling of 132288072 in words is "one hundred thirty-two million, two hundred eighty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 787429 1574858 2362287 3149716 4724574 5512003 6299432 9449148 11024006 16536009 18898296 22048012 33072018 44096024 66144036 132288072