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82120766 = 2721373883
BaseRepresentation
bin1001110010100…
…01000000111110
312201112011111212
410321101000332
5132010331031
612052044422
72015005100
oct471210076
9181464455
1082120766
114239a602
1223603712
1314023790
14ac99570
15732212b
hex4e5103e

82120766 has 48 divisors (see below), whose sum is σ = 156605904. Its totient is φ = 32006016.

The previous prime is 82120763. The next prime is 82120771. The reversal of 82120766 is 66702128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82120763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92561 + ... + 93443.

It is an arithmetic number, because the mean of its divisors is an integer number (3262623).

Almost surely, 282120766 is an apocalyptic number.

82120766 is a deficient number, since it is larger than the sum of its proper divisors (74485138).

82120766 is a wasteful number, since it uses less digits than its factorization.

82120766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 82120766 is about 9062.0508716294. The cubic root of 82120766 is about 434.6613226799.

The spelling of 82120766 in words is "eighty-two million, one hundred twenty thousand, seven hundred sixty-six".

Divisors: 1 2 7 13 14 26 49 73 91 98 146 182 511 637 883 949 1022 1274 1766 1898 3577 6181 6643 7154 11479 12362 13286 22958 43267 46501 64459 80353 86534 93002 128918 160706 451213 562471 837967 902426 1124942 1675934 3158491 5865769 6316982 11731538 41060383 82120766