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81611320 = 2357417109
BaseRepresentation
bin1001101110101…
…00101000111000
312200120021200111
410313110220320
5131343030240
612033114104
72010453610
oct467245070
9180507614
1081611320
114208187a
12233b8934
1313ba592b
14aba5a40
1572711ea
hex4dd4a38

81611320 has 64 divisors (see below), whose sum is σ = 215006400. Its totient is φ = 27294720.

The previous prime is 81611303. The next prime is 81611353. The reversal of 81611320 is 2311618.

It is a junction number, because it is equal to n+sod(n) for n = 81611291 and 81611300.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 7926 + ... + 15034.

It is an arithmetic number, because the mean of its divisors is an integer number (3359475).

Almost surely, 281611320 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 81611320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107503200).

81611320 is an abundant number, since it is smaller than the sum of its proper divisors (133395080).

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

81611320 is a wasteful number, since it uses less digits than its factorization.

81611320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168 (or 7164 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 81611320 is about 9033.8983833116. The cubic root of 81611320 is about 433.7606330807.

Adding to 81611320 its reverse (2311618), we get a palindrome (83922938).

The spelling of 81611320 in words is "eighty-one million, six hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 2296 2870 5740 7109 11480 14218 28436 35545 49763 56872 71090 99526 142180 199052 248815 284360 291469 398104 497630 582938 995260 1165876 1457345 1990520 2040283 2331752 2914690 4080566 5829380 8161132 10201415 11658760 16322264 20402830 40805660 81611320