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106384208 = 2476714177
BaseRepresentation
bin1100101011101…
…00101101010000
321102011212200212
412111310231100
5204213243313
614320103252
72431152020
oct625645520
9242155625
10106384208
1155062037
122b764b28
131906a648
14101b3a80
1595163a8
hex6574b50

106384208 has 40 divisors (see below), whose sum is σ = 239097792. Its totient is φ = 44909568.

The previous prime is 106384207. The next prime is 106384237. The reversal of 106384208 is 802483601.

It is a super-2 number, since 2×1063842082 = 22635199423574528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106384207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416 + ... + 14592.

Almost surely, 2106384208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106384208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119548896).

106384208 is an abundant number, since it is smaller than the sum of its proper divisors (132713584).

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

106384208 is a wasteful number, since it uses less digits than its factorization.

106384208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14259 (or 14253 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 106384208 is about 10314.2720538097. The cubic root of 106384208 is about 473.8334558248.

The spelling of 106384208 in words is "one hundred six million, three hundred eighty-four thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1072 1876 3752 7504 14177 28354 56708 99239 113416 198478 226832 396956 793912 949859 1587824 1899718 3799436 6649013 7598872 13298026 15197744 26596052 53192104 106384208