Search a number
-
+
12020256 = 253241737
BaseRepresentation
bin101101110110…
…101000100000
3211121200200200
4231312220200
511034122011
61105345200
7204112323
oct55665040
924550620
1012020256
11686aaa6
124038200
13264b2a1
14184c7ba
1510c6856
hexb76a20

12020256 has 36 divisors (see below), whose sum is σ = 34183422. Its totient is φ = 4006656.

The previous prime is 12020249. The next prime is 12020299. The reversal of 12020256 is 65202021.

It can be written as a sum of positive squares in only one way, i.e., 6656400 + 5363856 = 2580^2 + 2316^2 .

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 (18).

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, 20581 + ... + 21156.

Almost surely, 212020256 is an apocalyptic number.

12020256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12020256 is an abundant number, since it is smaller than the sum of its proper divisors (22163166).

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

12020256 is a wasteful number, since it uses less digits than its factorization.

12020256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41753 (or 41742 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12020256 is about 3467.0240841390. The cubic root of 12020256 is about 229.0715946061.

Adding to 12020256 its reverse (65202021), we get a palindrome (77222277).

The spelling of 12020256 in words is "twelve million, twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 41737 83474 125211 166948 250422 333896 375633 500844 667792 751266 1001688 1335584 1502532 2003376 3005064 4006752 6010128 12020256