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84126105 = 3257535039
BaseRepresentation
bin1010000001110…
…10100110011001
312212022001022200
411000322212121
5133014013410
612203040413
72041026420
oct500724631
9185261280
1084126105
114353a208
1224210109
131457647b
14b25c2b7
1575bb3c0
hex503a999

84126105 has 48 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 37724544.

The previous prime is 84126043. The next prime is 84126109. The reversal of 84126105 is 50162148.

84126105 is a `hidden beast` number, since 8 + 41 + 2 + 610 + 5 = 666.

It is not a de Polignac number, because 84126105 - 29 = 84125593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84126109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14176 + ... + 19214.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 284126105 is an apocalyptic number.

It is an amenable number.

84126105 is an abundant number, since it is smaller than the sum of its proper divisors (85701735).

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

84126105 is a wasteful number, since it uses less digits than its factorization.

84126105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 84126105 is about 9172.0284016132. The cubic root of 84126105 is about 438.1709628466.

The spelling of 84126105 in words is "eighty-four million, one hundred twenty-six thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 53 63 105 159 265 315 371 477 795 1113 1855 2385 3339 5039 5565 15117 16695 25195 35273 45351 75585 105819 176365 226755 267067 317457 529095 801201 1335335 1587285 1869469 2403603 4006005 5608407 9347345 12018015 16825221 28042035 84126105