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81001620 = 2235572381
BaseRepresentation
bin1001101001111…
…11110010010100
312122102022100000
410310333302110
5131214022440
612012051300
72002334220
oct464776224
9178368300
1081001620
11417a5797
1223163b30
1313a2126b
14aa87780
1571a0730
hex4d3fc94

81001620 has 144 divisors (see below), whose sum is σ = 291328128. Its totient is φ = 18506880.

The previous prime is 81001597. The next prime is 81001639. The reversal of 81001620 is 2610018.

It is a super-2 number, since 2×810016202 = 13122524885248800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 81001593 and 81001602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32830 + ... + 35210.

It is an arithmetic number, because the mean of its divisors is an integer number (2023112).

Almost surely, 281001620 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 81001620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145664064).

81001620 is an abundant number, since it is smaller than the sum of its proper divisors (210326508).

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

81001620 is a wasteful number, since it uses less digits than its factorization.

81001620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 81001620 is about 9000.0899995500. The cubic root of 81001620 is about 432.6777555721.

Adding to 81001620 its reverse (2610018), we get a palindrome (83611638).

The spelling of 81001620 in words is "eighty-one million, one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2381 2430 2835 3402 3780 4762 4860 5670 6804 7143 8505 9524 11340 11905 14286 16667 17010 21429 23810 28572 33334 34020 35715 42858 47620 50001 64287 66668 71430 83335 85716 100002 107145 128574 142860 150003 166670 192861 200004 214290 250005 257148 300006 321435 333340 385722 428580 450009 500010 578583 600012 642870 750015 771444 900018 964305 1000020 1157166 1285740 1350027 1500030 1800036 1928610 2250045 2314332 2700054 2892915 3000060 3857220 4050081 4500090 5400108 5785830 6750135 8100162 9000180 11571660 13500270 16200324 20250405 27000540 40500810 81001620