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11707968 = 263172211
BaseRepresentation
bin101100101010…
…011001000000
3211000211022110
4230222121000
510444123333
61054535320
7201342006
oct54523100
924024273
1011707968
116677408
123b07540
13256c0bc
1417aaa76
151064063
hexb2a640

11707968 has 84 divisors (see below), whose sum is σ = 33062672. Its totient is φ = 3655680.

The previous prime is 11707939. The next prime is 11707981. The reversal of 11707968 is 86970711.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55383 + ... + 55593.

Almost surely, 211707968 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 11707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16531336).

11707968 is an abundant number, since it is smaller than the sum of its proper divisors (21354704).

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

11707968 is a wasteful number, since it uses less digits than its factorization.

11707968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The square root of 11707968 is about 3421.6908101113. The cubic root of 11707968 is about 227.0703915938.

The spelling of 11707968 in words is "eleven million, seven hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 211 272 289 408 422 544 578 633 816 844 867 1088 1156 1266 1632 1688 1734 2312 2532 3264 3376 3468 3587 4624 5064 6752 6936 7174 9248 10128 10761 13504 13872 14348 18496 20256 21522 27744 28696 40512 43044 55488 57392 60979 86088 114784 121958 172176 182937 229568 243916 344352 365874 487832 688704 731748 975664 1463496 1951328 2926992 3902656 5853984 11707968