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104601006 = 2323126047
BaseRepresentation
bin1100011110000…
…01010110101110
321021211021121100
412033001112232
5203234213011
614213543530
72410044126
oct617012656
9237737540
10104601006
1154054314
122b044ba6
1318894ab3
14dc6bc86
1592b2d56
hex63c15ae

104601006 has 36 divisors (see below), whose sum is σ = 234220896. Its totient is φ = 33736680.

The previous prime is 104601001. The next prime is 104601019. The reversal of 104601006 is 600106401.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104601006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104601001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14275 + ... + 20321.

It is an arithmetic number, because the mean of its divisors is an integer number (6506136).

Almost surely, 2104601006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104601006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117110448).

104601006 is an abundant number, since it is smaller than the sum of its proper divisors (129619890).

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

104601006 is a wasteful number, since it uses less digits than its factorization.

104601006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6117 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 104601006 is about 10227.4633218604. The cubic root of 104601006 is about 471.1710739399.

Adding to 104601006 its reverse (600106401), we get a palindrome (704707407).

The spelling of 104601006 in words is "one hundred four million, six hundred one thousand, six".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 961 1922 2883 5766 6047 8649 12094 17298 18141 36282 54423 108846 187457 374914 562371 1124742 1687113 3374226 5811167 11622334 17433501 34867002 52300503 104601006