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106826317 = 1317483377
BaseRepresentation
bin1100101111000…
…00101001001101
321110000100011021
412113200221031
5204321420232
614333354141
72435002663
oct627405115
9243010137
10106826317
1155334214
122b938951
1319193950
141028ac33
1595a2397
hex65e0a4d

106826317 has 8 divisors (see below), whose sum is σ = 121811256. Its totient is φ = 92808192.

The previous prime is 106826299. The next prime is 106826327. The reversal of 106826317 is 713628601.

It can be written as a sum of positive squares in 4 ways, for example, as 715716 + 106110601 = 846^2 + 10301^2 .

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 106826317 - 211 = 106824269 is a prime.

It is a super-2 number, since 2×1068263172 = 22823724007568978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106826327) 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, 241468 + ... + 241909.

It is an arithmetic number, because the mean of its divisors is an integer number (15226407).

Almost surely, 2106826317 is an apocalyptic number.

106826317 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106826317 is a deficient number, since it is larger than the sum of its proper divisors (14984939).

106826317 is a wasteful number, since it uses less digits than its factorization.

106826317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483407.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 106826317 is about 10335.6817385212. The cubic root of 106826317 is about 474.4889306520.

The spelling of 106826317 in words is "one hundred six million, eight hundred twenty-six thousand, three hundred seventeen".

Divisors: 1 13 17 221 483377 6283901 8217409 106826317