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81105408 = 29335867
BaseRepresentation
bin1001101010110…
…01001000000000
312122121120201000
410311121020000
5131230333113
612014212000
72003245626
oct465311000
9178546630
1081105408
114186676a
12231b4000
1313a59587
14aab3516
1571c1373
hex4d59200

81105408 has 80 divisors (see below), whose sum is σ = 240118560. Its totient is φ = 27030528.

The previous prime is 81105407. The next prime is 81105457. The reversal of 81105408 is 80450118.

81105408 is a `hidden beast` number, since 8 + 110 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (81105403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10891 + ... + 16757.

It is an arithmetic number, because the mean of its divisors is an integer number (3001482).

Almost surely, 281105408 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 81105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120059280).

81105408 is an abundant number, since it is smaller than the sum of its proper divisors (159013152).

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

81105408 is an equidigital number, since it uses as much as digits as its factorization.

81105408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5894 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 81105408 is about 9005.8540960866. The cubic root of 81105408 is about 432.8624744816.

The spelling of 81105408 in words is "eighty-one million, one hundred five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 5867 6912 11734 13824 17601 23468 35202 46936 52803 70404 93872 105606 140808 158409 187744 211212 281616 316818 375488 422424 563232 633636 750976 844848 1126464 1267272 1501952 1689696 2252928 2534544 3003904 3379392 4505856 5069088 6758784 9011712 10138176 13517568 20276352 27035136 40552704 81105408