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82130532 = 223113120071
BaseRepresentation
bin1001110010100…
…11011001100100
312201112122220120
410321103121210
5132011134112
612052201540
72015045421
oct471233144
9181478816
1082130532
11423a6980
12236092b0
1314028063
14ac9cd48
157324e8c
hex4e53664

82130532 has 48 divisors (see below), whose sum is σ = 215814144. Its totient is φ = 24084000.

The previous prime is 82130509. The next prime is 82130557. The reversal of 82130532 is 23503128.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5944 + ... + 14127.

It is an arithmetic number, because the mean of its divisors is an integer number (4496128).

Almost surely, 282130532 is an apocalyptic number.

It is an amenable number.

82130532 is an abundant number, since it is smaller than the sum of its proper divisors (133683612).

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

82130532 is a wasteful number, since it uses less digits than its factorization.

82130532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20120 (or 20118 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 82130532 is about 9062.5896961078. The cubic root of 82130532 is about 434.6785523220.

The spelling of 82130532 in words is "eighty-two million, one hundred thirty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 20071 40142 60213 80284 120426 220781 240852 441562 622201 662343 883124 1244402 1324686 1866603 2488804 2649372 3733206 6844211 7466412 13688422 20532633 27376844 41065266 82130532