Search a number
-
+
13112420 = 2254379193
BaseRepresentation
bin110010000001…
…010001100100
3220200011212012
4302001101210
511324044140
61145013352
7216311426
oct62012144
926604765
1013112420
117446612
124484258
132941439
141a54816
151240265
hexc81464

13112420 has 48 divisors (see below), whose sum is σ = 28680960. Its totient is φ = 5031936.

The previous prime is 13112419. The next prime is 13112431. The reversal of 13112420 is 2421131.

13112420 = T181 + T182 + ... + T438.

It is a junction number, because it is equal to n+sod(n) for n = 13112395 and 13112404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67844 + ... + 68036.

It is an arithmetic number, because the mean of its divisors is an integer number (597520).

Almost surely, 213112420 is an apocalyptic number.

13112420 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 13112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14340480).

13112420 is an abundant number, since it is smaller than the sum of its proper divisors (15568540).

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

13112420 is a wasteful number, since it uses less digits than its factorization.

13112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 13112420 is about 3621.1075653728. The cubic root of 13112420 is about 235.8093116358.

Adding to 13112420 its reverse (2421131), we get a palindrome (15533551).

The spelling of 13112420 in words is "thirteen million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 79 86 158 172 193 215 316 386 395 430 772 790 860 965 1580 1930 3397 3860 6794 8299 13588 15247 16598 16985 30494 33196 33970 41495 60988 67940 76235 82990 152470 165980 304940 655621 1311242 2622484 3278105 6556210 13112420