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81680060 = 22572117577
BaseRepresentation
bin1001101111001…
…01011010111100
312200200202222102
410313211122330
5131402230220
612034404232
72011161200
oct467453274
9180622872
1081680060
1142119490
1223430678
1313bcacc7
14abc2b00
157286775
hex4de56bc

81680060 has 72 divisors (see below), whose sum is σ = 217700784. Its totient is φ = 25455360.

The previous prime is 81680059. The next prime is 81680083. The reversal of 81680060 is 6008618.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6992 + ... + 14568.

It is an arithmetic number, because the mean of its divisors is an integer number (3023622).

Almost surely, 281680060 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 81680060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108850392).

81680060 is an abundant number, since it is smaller than the sum of its proper divisors (136020724).

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

81680060 is a wasteful number, since it uses less digits than its factorization.

81680060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7611 (or 7602 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 81680060 is about 9037.7021415844. The cubic root of 81680060 is about 433.8823822794.

Adding to 81680060 its reverse (6008618), we get a palindrome (87688678).

The spelling of 81680060 in words is "eighty-one million, six hundred eighty thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 7577 10780 15154 30308 37885 53039 75770 83347 106078 151540 166694 212156 265195 333388 371273 416735 530390 583429 742546 833470 1060780 1166858 1485092 1666940 1856365 2333716 2917145 3712730 4084003 5834290 7425460 8168006 11668580 16336012 20420015 40840030 81680060