Search a number
-
+
13002112 = 27157647
BaseRepresentation
bin110001100110…
…010110000000
3220110120112201
4301212112000
511312031422
61142402544
7215342014
oct61462600
926416481
1013002112
117380752
124430454
132903176
141a26544
15121c727
hexc66580

13002112 has 32 divisors (see below), whose sum is σ = 26107920. Its totient is φ = 6449664.

The previous prime is 13002109. The next prime is 13002131. The reversal of 13002112 is 21120031.

It is a tau number, because it is divible by the number of its divisors (32).

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, 19773 + ... + 20419.

Almost surely, 213002112 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 13002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13053960).

13002112 is an abundant number, since it is smaller than the sum of its proper divisors (13105808).

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

13002112 is an equidigital number, since it uses as much as digits as its factorization.

13002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 13002112 is about 3605.8441452731. The cubic root of 13002112 is about 235.1462014643.

Adding to 13002112 its reverse (21120031), we get a palindrome (34122143).

The spelling of 13002112 in words is "thirteen million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 157 314 628 647 1256 1294 2512 2588 5024 5176 10048 10352 20096 20704 41408 82816 101579 203158 406316 812632 1625264 3250528 6501056 13002112