Search a number
-
+
13335112 = 2371983151
BaseRepresentation
bin110010110111…
…101001001000
3221002111100001
4302313221020
511403210422
61153452344
7221226610
oct62675110
927074301
1013335112
11758895a
1245710b4
1329bb8cb
141ab1a40
151286227
hexcb7a48

13335112 has 64 divisors (see below), whose sum is σ = 30643200. Its totient is φ = 5313600.

The previous prime is 13335107. The next prime is 13335139. The reversal of 13335112 is 21153331.

13335112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 13335112.

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, 88237 + ... + 88387.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 213335112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13335112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321600).

13335112 is an abundant number, since it is smaller than the sum of its proper divisors (17308088).

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

13335112 is a wasteful number, since it uses less digits than its factorization.

13335112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 270, while the sum is 19.

The square root of 13335112 is about 3651.7272625430. The cubic root of 13335112 is about 237.1367640431.

Adding to 13335112 its reverse (21153331), we get a palindrome (34488443).

It can be divided in two parts, 133 and 35112, that added together give a triangular number (35245 = T265).

The spelling of 13335112 in words is "thirteen million, three hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 83 133 151 152 166 266 302 332 532 581 604 664 1057 1064 1162 1208 1577 2114 2324 2869 3154 4228 4648 5738 6308 8456 11039 11476 12533 12616 20083 22078 22952 25066 40166 44156 50132 80332 87731 88312 100264 160664 175462 238127 350924 476254 701848 952508 1666889 1905016 3333778 6667556 13335112