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132283305 = 32571138177
BaseRepresentation
bin1111110001001…
…11101110101001
3100012220200120200
413320213232221
5232331031210
621043142413
73164250420
oct770475651
9305820520
10132283305
1168741450
1238374a09
1321537b5b
14137d62b7
15b9300c0
hex7e27ba9

132283305 has 48 divisors (see below), whose sum is σ = 285876864. Its totient is φ = 54973440.

The previous prime is 132283303. The next prime is 132283313. The reversal of 132283305 is 503382231.

132283305 is a `hidden beast` number, since 1 + 322 + 8 + 330 + 5 = 666.

It is not a de Polignac number, because 132283305 - 21 = 132283303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132283303) 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 47 ways as a sum of consecutive naturals, for example, 15624 + ... + 22553.

It is an arithmetic number, because the mean of its divisors is an integer number (5955768).

Almost surely, 2132283305 is an apocalyptic number.

132283305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132283305 is an abundant number, since it is smaller than the sum of its proper divisors (153593559).

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

132283305 is a wasteful number, since it uses less digits than its factorization.

132283305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38206 (or 38203 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 132283305 is about 11501.4479523232. The cubic root of 132283305 is about 509.5283413280.

The spelling of 132283305 in words is "one hundred thirty-two million, two hundred eighty-three thousand, three hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 38177 114531 190885 267239 343593 419947 572655 801717 1259841 1336195 1717965 2099735 2405151 2939629 3779523 4008585 6299205 8818887 12025755 14698145 18897615 26456661 44094435 132283305