Search a number
-
+
11606016 = 21131889
BaseRepresentation
bin101100010001…
…100000000000
3210211122110110
4230101200000
510432343031
61052431320
7200435532
oct54214000
923748413
1011606016
116607854
123a78540
132534886
141781852
151043c46
hexb11800

11606016 has 48 divisors (see below), whose sum is σ = 30958200. Its totient is φ = 3866624.

The previous prime is 11606009. The next prime is 11606027. The reversal of 11606016 is 61060611.

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

It is a junction number, because it is equal to n+sod(n) for n = 11605983 and 11606001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5200 + ... + 7088.

Almost surely, 211606016 is an apocalyptic number.

11606016 is a gapful number since it is divisible by the number (16) 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 11606016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479100).

11606016 is an abundant number, since it is smaller than the sum of its proper divisors (19352184).

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

11606016 is an equidigital number, since it uses as much as digits as its factorization.

11606016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11606016 is about 3406.7603379164. The cubic root of 11606016 is about 226.4093658593.

Adding to 11606016 its reverse (61060611), we get a palindrome (72666627).

The spelling of 11606016 in words is "eleven million, six hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1889 2048 3072 3778 5667 6144 7556 11334 15112 22668 30224 45336 60448 90672 120896 181344 241792 362688 483584 725376 967168 1450752 1934336 2901504 3868672 5803008 11606016