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82867980 = 223513131811
BaseRepresentation
bin1001111000001…
…11011100001100
312202221010111110
410330013130030
5132203233410
612120052020
72024236416
oct474073414
9182833443
1082867980
114285aa38
1223904010
1314225910
14b0119b6
15741d720
hex4f0770c

82867980 has 96 divisors (see below), whose sum is σ = 252096768. Its totient is φ = 20217600.

The previous prime is 82867943. The next prime is 82867997. The reversal of 82867980 is 8976828.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 101775 + ... + 102585.

It is an arithmetic number, because the mean of its divisors is an integer number (2626008).

Almost surely, 282867980 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 82867980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126048384).

82867980 is an abundant number, since it is smaller than the sum of its proper divisors (169228788).

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

82867980 is a wasteful number, since it uses less digits than its factorization.

82867980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 82867980 is about 9103.1851568558. The cubic root of 82867980 is about 435.9756670762.

The spelling of 82867980 in words is "eighty-two million, eight hundred sixty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 131 156 195 260 262 390 393 524 655 780 786 811 1310 1572 1622 1703 1965 2433 2620 3244 3406 3930 4055 4866 5109 6812 7860 8110 8515 9732 10218 10543 12165 16220 17030 20436 21086 24330 25545 31629 34060 42172 48660 51090 52715 63258 102180 105430 106241 126516 158145 210860 212482 316290 318723 424964 531205 632580 637446 1062410 1274892 1381133 1593615 2124820 2762266 3187230 4143399 5524532 6374460 6905665 8286798 13811330 16573596 20716995 27622660 41433990 82867980