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106479580 = 2255779227
BaseRepresentation
bin1100101100010…
…11111111011100
321102100201112011
412112023333130
5204224321310
614322121004
72432030044
oct626137734
9242321464
10106479580
1155117759
122b7b0164
13190a1b8c
14101da724
15953478a
hex658bfdc

106479580 has 24 divisors (see below), whose sum is σ = 224018928. Its totient is φ = 42513408.

The previous prime is 106479577. The next prime is 106479641. The reversal of 106479580 is 85974601.

It is a super-2 number, since 2×1064795802 = 22675801913952800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6927 + ... + 16153.

It is an arithmetic number, because the mean of its divisors is an integer number (9334122).

Almost surely, 2106479580 is an apocalyptic number.

106479580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106479580 is an abundant number, since it is smaller than the sum of its proper divisors (117539348).

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

106479580 is a wasteful number, since it uses less digits than its factorization.

106479580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9813 (or 9811 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 106479580 is about 10318.8943206140. The cubic root of 106479580 is about 473.9750086226.

The spelling of 106479580 in words is "one hundred six million, four hundred seventy-nine thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 577 1154 2308 2885 5770 9227 11540 18454 36908 46135 92270 184540 5323979 10647958 21295916 26619895 53239790 106479580