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81054820 = 225721173103
BaseRepresentation
bin1001101010011…
…00110001100100
312122112000022101
410311030301210
5131222223240
612013141444
72002645300
oct465146144
9178460271
1081054820
1141831760
122318a884
1313a3c542
14aa9cd00
1571b139a
hex4d4cc64

81054820 has 144 divisors (see below), whose sum is σ = 221090688. Its totient is φ = 24675840.

The previous prime is 81054781. The next prime is 81054821. The reversal of 81054820 is 2845018.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (81054821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 786889 + ... + 786991.

It is an arithmetic number, because the mean of its divisors is an integer number (1535352).

Almost surely, 281054820 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 81054820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110545344).

81054820 is an abundant number, since it is smaller than the sum of its proper divisors (140035868).

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

81054820 is a wasteful number, since it uses less digits than its factorization.

81054820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 81054820 is about 9003.0450404294. The cubic root of 81054820 is about 432.7724591065.

Adding to 81054820 its reverse (2845018), we get a palindrome (83899838).

The spelling of 81054820 in words is "eighty-one million, fifty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 73 77 98 103 110 140 146 154 196 206 220 245 292 308 365 385 412 490 511 515 539 721 730 770 803 980 1022 1030 1078 1133 1442 1460 1540 1606 2044 2060 2156 2266 2555 2695 2884 3212 3577 3605 4015 4532 5047 5110 5390 5621 5665 7154 7210 7519 7931 8030 10094 10220 10780 11242 11330 14308 14420 15038 15862 16060 17885 20188 22484 22660 25235 28105 30076 31724 35770 37595 39347 39655 50470 52633 55517 56210 71540 75190 78694 79310 82709 100940 105266 111034 112420 150380 157388 158620 165418 196735 210532 222068 263165 277585 330836 368431 393470 413545 526330 555170 578963 736862 786940 827090 1052660 1110340 1157926 1473724 1654180 1842155 2315852 2894815 3684310 4052741 5789630 7368620 8105482 11579260 16210964 20263705 40527410 81054820