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81858780 = 223251912381
BaseRepresentation
bin1001110000100…
…01000011011100
312201000212010200
410320101003130
5131423440110
612042303500
72012534223
oct470210334
9181025120
1081858780
1142230793
12234b7b90
1313c61463
14ac2bcba
1572be6c0
hex4e110dc

81858780 has 72 divisors (see below), whose sum is σ = 249709824. Its totient is φ = 21705600.

The previous prime is 81858743. The next prime is 81858781. The reversal of 81858780 is 8785818.

81858780 = T25 + T26 + ... + T788.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81858781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33190 + ... + 35570.

It is an arithmetic number, because the mean of its divisors is an integer number (3468192).

Almost surely, 281858780 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 81858780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124854912).

81858780 is an abundant number, since it is smaller than the sum of its proper divisors (167851044).

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

81858780 is a wasteful number, since it uses less digits than its factorization.

81858780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The square root of 81858780 is about 9047.5842079530. The cubic root of 81858780 is about 434.1986037730.

The spelling of 81858780 in words is "eighty-one million, eight hundred fifty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2381 2865 3438 3820 4762 5730 6876 7143 8595 9524 11460 11905 14286 17190 21429 23810 28572 34380 35715 42858 47620 71430 85716 107145 142860 214290 428580 454771 909542 1364313 1819084 2273855 2728626 4092939 4547710 5457252 6821565 8185878 9095420 13643130 16371756 20464695 27286260 40929390 81858780