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11680992 = 253240559
BaseRepresentation
bin101100100011…
…110011100000
3210222110022100
4230203303200
510442242432
61054210400
7201200241
oct54436340
923873270
1011680992
116659114
123ab3a00
13255ca3b
1417a0cc8
15105b07c
hexb23ce0

11680992 has 36 divisors (see below), whose sum is σ = 33218640. Its totient is φ = 3893568.

The previous prime is 11680969. The next prime is 11681039. The reversal of 11680992 is 29908611.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 19992 + ... + 20567.

It is an arithmetic number, because the mean of its divisors is an integer number (922740).

Almost surely, 211680992 is an apocalyptic number.

11680992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11680992 is an abundant number, since it is smaller than the sum of its proper divisors (21537648).

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

11680992 is a wasteful number, since it uses less digits than its factorization.

11680992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40575 (or 40564 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 11680992 is about 3417.7466260681. The cubic root of 11680992 is about 226.8958619798.

The spelling of 11680992 in words is "eleven million, six hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 40559 81118 121677 162236 243354 324472 365031 486708 648944 730062 973416 1297888 1460124 1946832 2920248 3893664 5840496 11680992