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11690976 = 2531111071
BaseRepresentation
bin101100100110…
…001111100000
3210222222000010
4230212033200
510443102401
61054324520
7201241323
oct54461740
923888003
1011690976
116665670
123ab9740
13256444b
1417a47ba
15105ded6
hexb263e0

11690976 has 48 divisors (see below), whose sum is σ = 33481728. Its totient is φ = 3542400.

The previous prime is 11690957. The next prime is 11690977. The reversal of 11690976 is 67909611.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11690977) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4480 + ... + 6591.

It is an arithmetic number, because the mean of its divisors is an integer number (697536).

Almost surely, 211690976 is an apocalyptic number.

11690976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11690976 is an abundant number, since it is smaller than the sum of its proper divisors (21790752).

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

11690976 is a wasteful number, since it uses less digits than its factorization.

11690976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11095 (or 11087 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 11690976 is about 3419.2069255896. The cubic root of 11690976 is about 226.9604878604.

The spelling of 11690976 in words is "eleven million, six hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11071 22142 33213 44284 66426 88568 121781 132852 177136 243562 265704 354272 365343 487124 531408 730686 974248 1062816 1461372 1948496 2922744 3896992 5845488 11690976