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10046106 = 23572953
BaseRepresentation
bin100110010100…
…101010011010
3200220101200000
4212110222122
510032433411
6555153430
7151250640
oct46245232
920811600
1010046106
115741874
123445876
132109855
141497190
15d36956
hex994a9a

10046106 has 48 divisors (see below), whose sum is σ = 25806144. Its totient is φ = 2869344.

The previous prime is 10046087. The next prime is 10046111. The reversal of 10046106 is 60164001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1926 + ... + 4878.

It is an arithmetic number, because the mean of its divisors is an integer number (537628).

Almost surely, 210046106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10046106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12903072).

10046106 is an abundant number, since it is smaller than the sum of its proper divisors (15760038).

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

10046106 is an equidigital number, since it uses as much as digits as its factorization.

10046106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2965 counting only the distinct ones).

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

The square root of 10046106 is about 3169.5592753567. The cubic root of 10046106 is about 215.7740693200.

The spelling of 10046106 in words is "ten million, forty-six thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 2953 3402 5906 8859 17718 20671 26577 41342 53154 62013 79731 124026 159462 186039 239193 372078 478386 558117 717579 1116234 1435158 1674351 3348702 5023053 10046106