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82303620 = 223571271543
BaseRepresentation
bin1001110011111…
…01101010000100
312201212110100020
410321331222010
5132032203440
612100015140
72016366150
oct471755204
9181773306
1082303620
1142504a23
12236914b0
1314088a89
14ad06060
15735b3d0
hex4e7da84

82303620 has 96 divisors (see below), whose sum is σ = 265617408. Its totient is φ = 18652032.

The previous prime is 82303609. The next prime is 82303621. The reversal of 82303620 is 2630328.

It is not an unprimeable number, because it can be changed into a prime (82303621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52569 + ... + 54111.

It is an arithmetic number, because the mean of its divisors is an integer number (2766848).

Almost surely, 282303620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82303620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132808704).

82303620 is an abundant number, since it is smaller than the sum of its proper divisors (183313788).

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

82303620 is a wasteful number, since it uses less digits than its factorization.

82303620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 82303620 is about 9072.1342582658. The cubic root of 82303620 is about 434.9836960463.

Adding to 82303620 its reverse (2630328), we get a palindrome (84933948).

The spelling of 82303620 in words is "eighty-two million, three hundred three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 127 140 210 254 381 420 508 635 762 889 1270 1524 1543 1778 1905 2540 2667 3086 3556 3810 4445 4629 5334 6172 7620 7715 8890 9258 10668 10801 13335 15430 17780 18516 21602 23145 26670 30860 32403 43204 46290 53340 54005 64806 92580 108010 129612 162015 195961 216020 324030 391922 587883 648060 783844 979805 1175766 1371727 1959610 2351532 2743454 2939415 3919220 4115181 5486908 5878830 6858635 8230362 11757660 13717270 16460724 20575905 27434540 41151810 82303620