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106424208 = 24321167187
BaseRepresentation
bin1100101011111…
…10011110010000
321102020220120100
412111332132100
5204221033313
614321012400
72431406442
oct625763620
9242226510
10106424208
115508a0a0
122b784100
1319082907
14101c4492
159523173
hex657e790

106424208 has 60 divisors (see below), whose sum is σ = 324921168. Its totient is φ = 32249280.

The previous prime is 106424189. The next prime is 106424239. The reversal of 106424208 is 802424601.

106424208 is a `hidden beast` number, since 10 + 642 + 4 + 2 + 0 + 8 = 666.

It is a super-2 number, since 2×1064242082 = 22652224096854528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32010 + ... + 35177.

Almost surely, 2106424208 is an apocalyptic number.

106424208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106424208 is an abundant number, since it is smaller than the sum of its proper divisors (218496960).

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

106424208 is a wasteful number, since it uses less digits than its factorization.

106424208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67212 (or 67203 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 106424208 is about 10316.2109323142. The cubic root of 106424208 is about 473.8928348236.

Adding to 106424208 its reverse (802424601), we get a palindrome (908848809).

The spelling of 106424208 in words is "one hundred six million, four hundred twenty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 67187 134374 201561 268748 403122 537496 604683 739057 806244 1074992 1209366 1478114 1612488 2217171 2418732 2956228 3224976 4434342 4837464 5912456 6651513 8868684 9674928 11824912 13303026 17737368 26606052 35474736 53212104 106424208