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106630620 = 22359291913
BaseRepresentation
bin1100101101100…
…00110111011100
321102122101201020
412112300313130
5204244134440
614325244140
72433226305
oct626606734
9242571636
10106630620
1155210188
122b863650
1319125855
14102397ac
1595643d0
hex65b0ddc

106630620 has 48 divisors (see below), whose sum is σ = 299043360. Its totient is φ = 28389376.

The previous prime is 106630571. The next prime is 106630631. The reversal of 106630620 is 26036601.

It is a super-2 number, since 2×1066306202 = 22740178243168800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54784 + ... + 56696.

It is an arithmetic number, because the mean of its divisors is an integer number (6230070).

Almost surely, 2106630620 is an apocalyptic number.

106630620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106630620 is an abundant number, since it is smaller than the sum of its proper divisors (192412740).

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

106630620 is a wasteful number, since it uses less digits than its factorization.

106630620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 106630620 is about 10326.2103406816. The cubic root of 106630620 is about 474.1990120183.

The spelling of 106630620 in words is "one hundred six million, six hundred thirty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 929 1858 1913 2787 3716 3826 4645 5574 5739 7652 9290 9565 11148 11478 13935 18580 19130 22956 27870 28695 38260 55740 57390 114780 1777177 3554354 5331531 7108708 8885885 10663062 17771770 21326124 26657655 35543540 53315310 106630620