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109666304 = 213111217
BaseRepresentation
bin1101000100101…
…10000000000000
321122100121212222
412202112000000
5211033310204
614514310212
72501101556
oct642260000
9248317788
10109666304
11569a3a10
1230888368
1319949507
14107c9bd6
159963abe
hex6896000

109666304 has 56 divisors (see below), whose sum is σ = 239453928. Its totient is φ = 49807360.

The previous prime is 109666289. The next prime is 109666363. The reversal of 109666304 is 403666901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89504 + ... + 90720.

It is an arithmetic number, because the mean of its divisors is an integer number (4275963).

Almost surely, 2109666304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109666304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119726964).

109666304 is an abundant number, since it is smaller than the sum of its proper divisors (129787624).

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

109666304 is an equidigital number, since it uses as much as digits as its factorization.

109666304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 109666304 is about 10472.1680658782. The cubic root of 109666304 is about 478.6569865681.

The spelling of 109666304 in words is "one hundred nine million, six hundred sixty-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1217 1408 2048 2434 2816 4096 4868 5632 8192 9736 11264 13387 19472 22528 26774 38944 45056 53548 77888 90112 107096 155776 214192 311552 428384 623104 856768 1246208 1713536 2492416 3427072 4984832 6854144 9969664 13708288 27416576 54833152 109666304