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109468704 = 25310710657
BaseRepresentation
bin1101000011001…
…01110000100000
321121222120211110
412201211300200
5211010444304
614510143320
72466316512
oct641456040
9247876743
10109468704
1156879504
12307b1b40
13198aa5a7
1410777bb2
159925289
hex6865c20

109468704 has 48 divisors (see below), whose sum is σ = 290068128. Its totient is φ = 36145152.

The previous prime is 109468673. The next prime is 109468739. The reversal of 109468704 is 407864901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4944 + ... + 15600.

It is an arithmetic number, because the mean of its divisors is an integer number (6043086).

Almost surely, 2109468704 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 109468704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145034064).

109468704 is an abundant number, since it is smaller than the sum of its proper divisors (180599424).

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

109468704 is a wasteful number, since it uses less digits than its factorization.

109468704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10777 (or 10769 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 109468704 is about 10462.7292806418. The cubic root of 109468704 is about 478.3693276085.

The spelling of 109468704 in words is "one hundred nine million, four hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 10272 10657 21314 31971 42628 63942 85256 127884 170512 255768 341024 511536 1023072 1140299 2280598 3420897 4561196 6841794 9122392 13683588 18244784 27367176 36489568 54734352 109468704