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132288750 = 23254111069
BaseRepresentation
bin1111110001010…
…01000011101110
3100012220222001100
413320221003232
5232331220000
621043223530
73164302326
oct770510356
9305828040
10132288750
1168745550
1238377ba6
132153a489
14137d8286
15b931a00
hex7e290ee

132288750 has 120 divisors (see below), whose sum is σ = 391093560. Its totient is φ = 32040000.

The previous prime is 132288743. The next prime is 132288787. The reversal of 132288750 is 57882231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 123216 + ... + 124284.

It is an arithmetic number, because the mean of its divisors is an integer number (3259113).

Almost surely, 2132288750 is an apocalyptic number.

132288750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132288750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195546780).

132288750 is an abundant number, since it is smaller than the sum of its proper divisors (258804810).

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

132288750 is a wasteful number, since it uses less digits than its factorization.

132288750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 132288750 is about 11501.6846592141. The cubic root of 132288750 is about 509.5353322423.

It can be divided in two parts, 132 and 288750, that added together give a palindrome (288882).

The spelling of 132288750 in words is "one hundred thirty-two million, two hundred eighty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 125 150 165 198 225 250 275 330 375 450 495 550 625 750 825 990 1069 1125 1250 1375 1650 1875 2138 2250 2475 2750 3207 3750 4125 4950 5345 5625 6414 6875 8250 9621 10690 11250 11759 12375 13750 16035 19242 20625 23518 24750 26725 32070 35277 41250 48105 53450 58795 61875 70554 80175 96210 105831 117590 123750 133625 160350 176385 211662 240525 267250 293975 352770 400875 481050 529155 587950 668125 801750 881925 1058310 1202625 1336250 1469875 1763850 2004375 2405250 2645775 2939750 4008750 4409625 5291550 6013125 7349375 8819250 12026250 13228875 14698750 22048125 26457750 44096250 66144375 132288750