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11680660 = 225584033
BaseRepresentation
bin101100100011…
…101110010100
3210222102212001
4230203232110
510442240120
61054205044
7201166255
oct54435624
923872761
1011680660
116658942
123ab3784
13255c844
1417a0b2c
15105ae0a
hexb23b94

11680660 has 12 divisors (see below), whose sum is σ = 24529428. Its totient is φ = 4672256.

The previous prime is 11680651. The next prime is 11680661. The reversal of 11680660 is 6608611.

11680660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2268036 + 9412624 = 1506^2 + 3068^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11680661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 291997 + ... + 292036.

It is an arithmetic number, because the mean of its divisors is an integer number (2044119).

Almost surely, 211680660 is an apocalyptic number.

11680660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11680660 is an abundant number, since it is smaller than the sum of its proper divisors (12848768).

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

11680660 is a wasteful number, since it uses less digits than its factorization.

11680660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584042 (or 584040 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 11680660 is about 3417.6980557094. The cubic root of 11680660 is about 226.8937123296.

The spelling of 11680660 in words is "eleven million, six hundred eighty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 584033 1168066 2336132 2920165 5840330 11680660