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132350760 = 2334540849
BaseRepresentation
bin1111110001110…
…00001100101000
3100020001010010000
413320320030220
5232340211020
621044423000
73164651163
oct770701450
9306033100
10132350760
11687880a3
12383a7a60
132155c779
1413812ada
15b945090
hex7e38328

132350760 has 80 divisors (see below), whose sum is σ = 444856500. Its totient is φ = 35292672.

The previous prime is 132350759. The next prime is 132350767. The reversal of 132350760 is 67053231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 132296004 + 54756 = 11502^2 + 234^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132350767) 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 19 ways as a sum of consecutive naturals, for example, 17185 + ... + 23664.

Almost surely, 2132350760 is an apocalyptic number.

132350760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132350760 is an abundant number, since it is smaller than the sum of its proper divisors (312505740).

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

132350760 is a wasteful number, since it uses less digits than its factorization.

132350760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40872 (or 40859 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 132350760 is about 11504.3800354474. The cubic root of 132350760 is about 509.6149342501.

The spelling of 132350760 in words is "one hundred thirty-two million, three hundred fifty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 40849 81698 122547 163396 204245 245094 326792 367641 408490 490188 612735 735282 816980 980376 1102923 1225470 1470564 1633960 1838205 2205846 2450940 2941128 3308769 3676410 4411692 4901880 5514615 6617538 7352820 8823384 11029230 13235076 14705640 16543845 22058460 26470152 33087690 44116920 66175380 132350760