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11704968 = 23321114779
BaseRepresentation
bin101100101001…
…101010001000
3211000200012100
4230221222020
510444024333
61054513400
7201330162
oct54515210
924020170
1011704968
116675130
123b05860
13256a922
1417a9932
151063213
hexb29a88

11704968 has 48 divisors (see below), whose sum is σ = 34585200. Its totient is φ = 3546720.

The previous prime is 11704963. The next prime is 11705017. The reversal of 11704968 is 86940711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11704963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6598 + ... + 8181.

It is an arithmetic number, because the mean of its divisors is an integer number (720525).

Almost surely, 211704968 is an apocalyptic number.

11704968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11704968 is an abundant number, since it is smaller than the sum of its proper divisors (22880232).

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

11704968 is a wasteful number, since it uses less digits than its factorization.

11704968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14802 (or 14795 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11704968 is about 3421.2524022644. The cubic root of 11704968 is about 227.0509954194.

The spelling of 11704968 in words is "eleven million, seven hundred four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 14779 29558 44337 59116 88674 118232 133011 162569 177348 266022 325138 354696 487707 532044 650276 975414 1064088 1300552 1463121 1950828 2926242 3901656 5852484 11704968