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106436304 = 24321356857
BaseRepresentation
bin1100101100000…
…01011011010000
321102021112011100
412112001123100
5204221430204
614321144400
72431456632
oct626013320
9242245140
10106436304
1155098197
122b78b100
1319088280
14101c8a52
159526a39
hex65816d0

106436304 has 60 divisors (see below), whose sum is σ = 320792836. Its totient is φ = 32749056.

The previous prime is 106436279. The next prime is 106436327. The reversal of 106436304 is 403634601.

106436304 is a `hidden beast` number, since 10 + 643 + 6 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28643904 + 77792400 = 5352^2 + 8820^2 .

It is a super-2 number, since 2×1064363042 = 22657373618360832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26557 + ... + 30300.

Almost surely, 2106436304 is an apocalyptic number.

It is an amenable number.

106436304 is an abundant number, since it is smaller than the sum of its proper divisors (214356532).

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

106436304 is a wasteful number, since it uses less digits than its factorization.

106436304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56884 (or 56875 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 106436304 is about 10316.7971774190. The cubic root of 106436304 is about 473.9107881028.

The spelling of 106436304 in words is "one hundred six million, four hundred thirty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 56857 113714 170571 227428 341142 454856 511713 682284 739141 909712 1023426 1364568 1478282 2046852 2217423 2729136 2956564 4093704 4434846 5913128 6652269 8187408 8869692 11826256 13304538 17739384 26609076 35478768 53218152 106436304