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660104406 = 2321328110039
BaseRepresentation
bin100111010110000…
…110010011010110
31201000002210000100
4213112012103112
52322441320111
6145300154530
722233536433
oct4726062326
91630083010
10660104406
11309680235
12165098a46
13a69b1230
1463950b8a
153ce41756
hex275864d6

660104406 has 48 divisors (see below), whose sum is σ = 1545878880. Its totient is φ = 202366080.

The previous prime is 660104399. The next prime is 660104437. The reversal of 660104406 is 604401066.

660104406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6601044062 = 871475653641225672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 660104406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60735 + ... + 70773.

It is an arithmetic number, because the mean of its divisors is an integer number (32205810).

Almost surely, 2660104406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660104406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772939440).

660104406 is an abundant number, since it is smaller than the sum of its proper divisors (885774474).

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

660104406 is a wasteful number, since it uses less digits than its factorization.

660104406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10341 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 660104406 is about 25692.4970759948. The cubic root of 660104406 is about 870.7046767975.

The spelling of 660104406 in words is "six hundred sixty million, one hundred four thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 281 562 843 1686 2529 3653 5058 7306 10039 10959 20078 21918 30117 32877 60234 65754 90351 130507 180702 261014 391521 783042 1174563 2349126 2820959 5641918 8462877 16925754 25388631 36672467 50777262 73344934 110017401 220034802 330052203 660104406