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106427232 = 2532369539
BaseRepresentation
bin1100101011111…
…11001101100000
321102021001201100
412111333031200
5204221132412
614321034400
72431421322
oct625771540
9242231640
10106427232
115509139a
122b785a00
13190840c2
14101c5612
159523edc
hex657f360

106427232 has 36 divisors (see below), whose sum is σ = 302653260. Its totient is φ = 35475648.

The previous prime is 106427231. The next prime is 106427239. The reversal of 106427232 is 232724601.

106427232 is a `hidden beast` number, since 1 + 0 + 6 + 427 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1064272322 = 22653511422363648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106427196 and 106427205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106427231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184482 + ... + 185057.

It is an arithmetic number, because the mean of its divisors is an integer number (8407035).

Almost surely, 2106427232 is an apocalyptic number.

106427232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106427232 is an abundant number, since it is smaller than the sum of its proper divisors (196226028).

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

106427232 is a wasteful number, since it uses less digits than its factorization.

106427232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369555 (or 369544 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 106427232 is about 10316.3574967137. The cubic root of 106427232 is about 473.8973232709.

The spelling of 106427232 in words is "one hundred six million, four hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 369539 739078 1108617 1478156 2217234 2956312 3325851 4434468 5912624 6651702 8868936 11825248 13303404 17737872 26606808 35475744 53213616 106427232