Search a number
-
+
13108128 = 2531112413
BaseRepresentation
bin110010000000…
…001110100000
3220122221222020
4302000032200
511323430003
61144541440
7216263055
oct62001640
926587866
1013108128
117443370
124481880
13293c4b7
141a5302c
15123dd53
hexc803a0

13108128 has 48 divisors (see below), whose sum is σ = 37539936. Its totient is φ = 3971840.

The previous prime is 13108111. The next prime is 13108141. The reversal of 13108128 is 82180131.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13108098 and 13108107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5151 + ... + 7262.

It is an arithmetic number, because the mean of its divisors is an integer number (782082).

Almost surely, 213108128 is an apocalyptic number.

It is an amenable number.

13108128 is an abundant number, since it is smaller than the sum of its proper divisors (24431808).

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

13108128 is a wasteful number, since it uses less digits than its factorization.

13108128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12437 (or 12429 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 13108128 is about 3620.5148805108. The cubic root of 13108128 is about 235.7835802042.

Adding to 13108128 its reverse (82180131), we get a palindrome (95288259).

The spelling of 13108128 in words is "thirteen million, one hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 12413 24826 37239 49652 74478 99304 136543 148956 198608 273086 297912 397216 409629 546172 595824 819258 1092344 1191648 1638516 2184688 3277032 4369376 6554064 13108128