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132545226 = 23111726949
BaseRepresentation
bin1111110011001…
…11101011001010
3100020101222212110
413321213223022
5232412421401
621052523150
73166421142
oct771475312
9306358773
10132545226
1168900210
12384804b6
13215ca138
1413863922
15b9829d6
hex7e67aca

132545226 has 48 divisors (see below), whose sum is σ = 307245600. Its totient is φ = 37797120.

The previous prime is 132545219. The next prime is 132545227. The reversal of 132545226 is 622545231.

132545226 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132545193 and 132545202.

It is not an unprimeable number, because it can be changed into a prime (132545227) 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 23 ways as a sum of consecutive naturals, for example, 15600 + ... + 22548.

It is an arithmetic number, because the mean of its divisors is an integer number (6400950).

Almost surely, 2132545226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132545226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153622800).

132545226 is an abundant number, since it is smaller than the sum of its proper divisors (174700374).

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

132545226 is a wasteful number, since it uses less digits than its factorization.

132545226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6982 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 132545226 is about 11512.8287575209. The cubic root of 132545226 is about 509.8644083985.

The spelling of 132545226 in words is "one hundred thirty-two million, five hundred forty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 289 374 561 578 867 1122 1734 3179 6358 6949 9537 13898 19074 20847 41694 76439 118133 152878 229317 236266 354399 458634 708798 1299463 2008261 2598926 3898389 4016522 6024783 7796778 12049566 22090871 44181742 66272613 132545226