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106426269 = 3211825141
BaseRepresentation
bin1100101011111…
…10111110011101
321102021000101200
412111332332131
5204221120034
614321030113
72431415445
oct625767635
9242230350
10106426269
11550906a4
122b785339
1319083831
14101c5125
159523a99
hex657ef9d

106426269 has 6 divisors (see below), whose sum is σ = 153726846. Its totient is φ = 70950840.

The previous prime is 106426253. The next prime is 106426291. The reversal of 106426269 is 962624601.

106426269 is a `hidden beast` number, since 1 + 0 + 642 + 6 + 2 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57608100 + 48818169 = 7590^2 + 6987^2 .

It is not a de Polignac number, because 106426269 - 24 = 106426253 is a prime.

It is a super-2 number, since 2×1064262692 = 22653101466520722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106426219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5912562 + ... + 5912579.

It is an arithmetic number, because the mean of its divisors is an integer number (25621141).

Almost surely, 2106426269 is an apocalyptic number.

It is an amenable number.

106426269 is a deficient number, since it is larger than the sum of its proper divisors (47300577).

106426269 is a wasteful number, since it uses less digits than its factorization.

106426269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11825147 (or 11825144 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 106426269 is about 10316.3108231577. The cubic root of 106426269 is about 473.8958939234.

The spelling of 106426269 in words is "one hundred six million, four hundred twenty-six thousand, two hundred sixty-nine".

Divisors: 1 3 9 11825141 35475423 106426269