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11912080 = 245612441
BaseRepresentation
bin101101011100…
…001110010000
3211102012022011
4231130032100
511022141310
61103152304
7203152045
oct55341620
924365264
1011912080
1167a67a4
123ba5694
132610c8b
1418211cc
1510a478a
hexb5c390

11912080 has 40 divisors (see below), whose sum is σ = 28161144. Its totient is φ = 4684800.

The previous prime is 11912071. The next prime is 11912083. The reversal of 11912080 is 8021911.

It can be written as a sum of positive squares in 4 ways, for example, as 541696 + 11370384 = 736^2 + 3372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (11912083) 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, 3660 + ... + 6100.

Almost surely, 211912080 is an apocalyptic number.

11912080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11912080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14080572).

11912080 is an abundant number, since it is smaller than the sum of its proper divisors (16249064).

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

11912080 is a wasteful number, since it uses less digits than its factorization.

11912080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 11912080 is about 3451.3881265369. The cubic root of 11912080 is about 228.3823480949.

Adding to 11912080 its reverse (8021911), we get a palindrome (19933991).

The spelling of 11912080 in words is "eleven million, nine hundred twelve thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 2441 4880 4882 9764 12205 19528 24410 39056 48820 97640 148901 195280 297802 595604 744505 1191208 1489010 2382416 2978020 5956040 11912080