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81620040 = 23354091663
BaseRepresentation
bin1001101110101…
…10110001001000
312200120201122110
410313112301020
5131343320130
612033222320
72010521205
oct467266110
9180521573
1081620040
1142088387
12234019a0
1313ba98a8
14aba8cac
157273ab0
hex4dd6c48

81620040 has 64 divisors (see below), whose sum is σ = 245606400. Its totient is φ = 21699072.

The previous prime is 81620027. The next prime is 81620041. The reversal of 81620040 is 4002618.

It is a junction number, because it is equal to n+sod(n) for n = 81619989 and 81620016.

It is not an unprimeable number, because it can be changed into a prime (81620041) by changing a digit.

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, 48249 + ... + 49911.

It is an arithmetic number, because the mean of its divisors is an integer number (3837600).

Almost surely, 281620040 is an apocalyptic number.

It is an amenable number.

81620040 is an abundant number, since it is smaller than the sum of its proper divisors (163986360).

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

81620040 is a wasteful number, since it uses less digits than its factorization.

81620040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 81620040 is about 9034.3809970579. The cubic root of 81620040 is about 433.7760813380.

Adding to 81620040 its reverse (4002618), we get a palindrome (85622658).

The spelling of 81620040 in words is "eighty-one million, six hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 409 818 1227 1636 1663 2045 2454 3272 3326 4090 4908 4989 6135 6652 8180 8315 9816 9978 12270 13304 16360 16630 19956 24540 24945 33260 39912 49080 49890 66520 99780 199560 680167 1360334 2040501 2720668 3400835 4081002 5441336 6801670 8162004 10202505 13603340 16324008 20405010 27206680 40810020 81620040