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106426433 = 2910693433
BaseRepresentation
bin1100101011111…
…11000001000001
321102021000121202
412111333001001
5204221121213
614321030545
72431416101
oct625770101
9242230552
10106426433
1155090833
122b785455
1319083929
14101c5201
159523b58
hex657f041

106426433 has 8 divisors (see below), whose sum is σ = 110231400. Its totient is φ = 102630528.

The previous prime is 106426423. The next prime is 106426459. The reversal of 106426433 is 334624601.

It can be written as a sum of positive squares in 4 ways, for example, as 9443329 + 96983104 = 3073^2 + 9848^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106426433 - 24 = 106426417 is a prime.

It is a super-2 number, since 2×1064264332 = 22653171282206978, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106426396 and 106426405.

It is not an unprimeable number, because it can be changed into a prime (106426403) 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, 29285 + ... + 32717.

It is an arithmetic number, because the mean of its divisors is an integer number (13778925).

Almost surely, 2106426433 is an apocalyptic number.

It is an amenable number.

106426433 is a deficient number, since it is larger than the sum of its proper divisors (3804967).

106426433 is a wasteful number, since it uses less digits than its factorization.

106426433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4531.

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 106426433 is about 10316.3187717325. The cubic root of 106426433 is about 473.8961373435.

The spelling of 106426433 in words is "one hundred six million, four hundred twenty-six thousand, four hundred thirty-three".

Divisors: 1 29 1069 3433 31001 99557 3669877 106426433