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82139560 = 23514332
BaseRepresentation
bin1001110010101…
…01100110101000
312201120010021221
410321111212220
5132011431220
612052311424
72015113636
oct471254650
9181503257
1082139560
1142402738
1223612574
131402c1b9
14aca2356
1573279aa
hex4e559a8

82139560 has 24 divisors (see below), whose sum is σ = 184943070. Its totient is φ = 32832896.

The previous prime is 82139537. The next prime is 82139567. The reversal of 82139560 is 6593128.

It can be written as a sum of positive squares in 3 ways, for example, as 81252196 + 887364 = 9014^2 + 942^2 .

It is not an unprimeable number, because it can be changed into a prime (82139567) 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 5 ways as a sum of consecutive naturals, for example, 56604 + ... + 58036.

Almost surely, 282139560 is an apocalyptic number.

It is an amenable number.

82139560 is an abundant number, since it is smaller than the sum of its proper divisors (102803510).

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

82139560 is an equidigital number, since it uses as much as digits as its factorization.

82139560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 82139560 is about 9063.0877740426. The cubic root of 82139560 is about 434.6944787345.

Multiplying 82139560 by its product of nonzero digits (12960), we get a square (1064528697600 = 10317602).

The spelling of 82139560 in words is "eighty-two million, one hundred thirty-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1433 2866 5732 7165 11464 14330 28660 57320 2053489 4106978 8213956 10267445 16427912 20534890 41069780 82139560