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132041322 = 23276715641
BaseRepresentation
bin1111101111011…
…00101001101010
3100012110101122100
413313230221222
5232300310242
621034034230
73162222060
oct767545152
9305411570
10132041322
1168596666
1238278976
132148197a
1413772030
15b8d354c
hex7deca6a

132041322 has 48 divisors (see below), whose sum is σ = 331860672. Its totient is φ = 37160640.

The previous prime is 132041281. The next prime is 132041341. The reversal of 132041322 is 223140231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132041295 and 132041304.

It is an unprimeable number.

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, 622 + ... + 16262.

It is an arithmetic number, because the mean of its divisors is an integer number (6913764).

Almost surely, 2132041322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132041322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165930336).

132041322 is an abundant number, since it is smaller than the sum of its proper divisors (199819350).

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

132041322 is a wasteful number, since it uses less digits than its factorization.

132041322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15723 (or 15720 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132041322 is about 11490.9234615848. The cubic root of 132041322 is about 509.2174619499.

Adding to 132041322 its reverse (223140231), we get a palindrome (355181553).

The spelling of 132041322 in words is "one hundred thirty-two million, forty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 2814 4221 8442 15641 31282 46923 93846 109487 140769 218974 281538 328461 656922 985383 1047947 1970766 2095894 3143841 6287682 7335629 9431523 14671258 18863046 22006887 44013774 66020661 132041322