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82600140 = 223571931019
BaseRepresentation
bin1001110110001…
…10000011001100
312202102112002110
410323012003030
5132121201030
612110224020
72022042510
oct473060314
9182375073
1082600140
1142697787
12237b5010
1314160a2c
14ad82140
1573b91b0
hex4ec60cc

82600140 has 96 divisors (see below), whose sum is σ = 265950720. Its totient is φ = 18763776.

The previous prime is 82600139. The next prime is 82600159. The reversal of 82600140 is 4100628.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80551 + ... + 81569.

It is an arithmetic number, because the mean of its divisors is an integer number (2770320).

Almost surely, 282600140 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 82600140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132975360).

82600140 is an abundant number, since it is smaller than the sum of its proper divisors (183350580).

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

82600140 is a wasteful number, since it uses less digits than its factorization.

82600140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 82600140 is about 9088.4619160780. The cubic root of 82600140 is about 435.5054502480.

Adding to 82600140 its reverse (4100628), we get a palindrome (86700768).

The spelling of 82600140 in words is "eighty-two million, six hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 193 210 386 420 579 772 965 1019 1158 1351 1930 2038 2316 2702 2895 3057 3860 4053 4076 5095 5404 5790 6114 6755 7133 8106 10190 11580 12228 13510 14266 15285 16212 20265 20380 21399 27020 28532 30570 35665 40530 42798 61140 71330 81060 85596 106995 142660 196667 213990 393334 427980 590001 786668 983335 1180002 1376669 1966670 2360004 2753338 2950005 3933340 4130007 5506676 5900010 6883345 8260014 11800020 13766690 16520028 20650035 27533380 41300070 82600140