Search a number
-
+
11680647 = 3112391481
BaseRepresentation
bin101100100011…
…101110000111
3210222102211120
4230203232013
510442240042
61054205023
7201166236
oct54435607
923872746
1011680647
116658930
123ab3773
13255c834
1417a0b1d
15105adec
hexb23b87

11680647 has 16 divisors (see below), whose sum is σ = 17072640. Its totient is φ = 7044800.

The previous prime is 11680639. The next prime is 11680651. The reversal of 11680647 is 74608611.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11680647 - 23 = 11680639 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11680607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7147 + ... + 8627.

It is an arithmetic number, because the mean of its divisors is an integer number (1067040).

Almost surely, 211680647 is an apocalyptic number.

11680647 is a deficient number, since it is larger than the sum of its proper divisors (5391993).

11680647 is a wasteful number, since it uses less digits than its factorization.

11680647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 11680647 is about 3417.6961538440. The cubic root of 11680647 is about 226.8936281557.

The spelling of 11680647 in words is "eleven million, six hundred eighty thousand, six hundred forty-seven".

Divisors: 1 3 11 33 239 717 1481 2629 4443 7887 16291 48873 353959 1061877 3893549 11680647