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81283020 = 223571314887
BaseRepresentation
bin1001101100001…
…00011111001100
312122221121100020
410312010133030
5131302024040
612022102140
72004615510
oct466043714
9178847306
1081283020
1141978155
122327a950
1313abc380
14ab1c140
157208cd0
hex4d847cc

81283020 has 96 divisors (see below), whose sum is σ = 280132608. Its totient is φ = 17148672.

The previous prime is 81283019. The next prime is 81283039. The reversal of 81283020 is 2038218.

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, 1984 + ... + 12903.

It is an arithmetic number, because the mean of its divisors is an integer number (2918048).

Almost surely, 281283020 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 81283020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140066304).

81283020 is an abundant number, since it is smaller than the sum of its proper divisors (198849588).

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

81283020 is a wasteful number, since it uses less digits than its factorization.

81283020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14919 (or 14917 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 81283020 is about 9015.7096226531. The cubic root of 81283020 is about 433.1782179860.

The spelling of 81283020 in words is "eighty-one million, two hundred eighty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 14887 29774 44661 59548 74435 89322 104209 148870 178644 193531 208418 223305 297740 312627 387062 416836 446610 521045 580593 625254 774124 893220 967655 1042090 1161186 1250508 1354717 1563135 1935310 2084180 2322372 2709434 2902965 3126270 3870620 4064151 5418868 5805930 6252540 6773585 8128302 11611860 13547170 16256604 20320755 27094340 40641510 81283020