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106686042 = 2359833631
BaseRepresentation
bin1100101101111…
…10011001011010
321102202012201220
412112332121122
5204302423132
614330352510
72433550011
oct626763132
9242665656
10106686042
1155248891
122b88b736
1319144b48
1410251a78
159575a2c
hex65be65a

106686042 has 32 divisors (see below), whose sum is σ = 219663360. Its totient is φ = 34528560.

The previous prime is 106686023. The next prime is 106686071. The reversal of 106686042 is 240686601.

It is a happy number.

It is a super-2 number, since 2×1066860422 = 22763823115251528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106685994 and 106686012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27567 + ... + 31197.

It is an arithmetic number, because the mean of its divisors is an integer number (6864480).

Almost surely, 2106686042 is an apocalyptic number.

106686042 is an abundant number, since it is smaller than the sum of its proper divisors (112977318).

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

106686042 is a wasteful number, since it uses less digits than its factorization.

106686042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 106686042 is about 10328.8935515862. The cubic root of 106686042 is about 474.2811538575.

The spelling of 106686042 in words is "one hundred six million, six hundred eighty-six thousand, forty-two".

Divisors: 1 2 3 6 59 83 118 166 177 249 354 498 3631 4897 7262 9794 10893 14691 21786 29382 214229 301373 428458 602746 642687 904119 1285374 1808238 17781007 35562014 53343021 106686042