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106426335 = 3573831171
BaseRepresentation
bin1100101011111…
…10111111011111
321102021000111010
412111332333133
5204221120320
614321030303
72431415601
oct625767737
9242230433
10106426335
1155090754
122b785393
1319083882
14101c5171
159523ae0
hex657efdf

106426335 has 32 divisors (see below), whose sum is σ = 174843648. Its totient is φ = 55261440.

The previous prime is 106426321. The next prime is 106426343. The reversal of 106426335 is 533624601.

It is not a de Polignac number, because 106426335 - 27 = 106426207 is a prime.

It is a super-3 number, since 3×1064263353 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90300 + ... + 91470.

It is an arithmetic number, because the mean of its divisors is an integer number (5463864).

Almost surely, 2106426335 is an apocalyptic number.

106426335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106426335 is a deficient number, since it is larger than the sum of its proper divisors (68417313).

106426335 is a wasteful number, since it uses less digits than its factorization.

106426335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 106426335 is about 10316.3140219751. The cubic root of 106426335 is about 473.8959918852.

The spelling of 106426335 in words is "one hundred six million, four hundred twenty-six thousand, three hundred thirty-five".

Divisors: 1 3 5 15 73 83 219 249 365 415 1095 1171 1245 3513 5855 6059 17565 18177 30295 85483 90885 97193 256449 291579 427415 485965 1282245 1457895 7095089 21285267 35475445 106426335