Search a number
-
+
13081000 = 2353103127
BaseRepresentation
bin110001111001…
…100110101000
3220121120202111
4301321212220
511322043000
61144212104
7216121012
oct61714650
926546674
1013081000
117424a49
12446a034
13293004a
141a471b2
151235cba
hexc799a8

13081000 has 64 divisors (see below), whose sum is σ = 31150080. Its totient is φ = 5140800.

The previous prime is 13080989. The next prime is 13081031. The reversal of 13081000 is 18031.

13081000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130810002 = 342225122000000, which contains 22 as substring.

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, 102937 + ... + 103063.

It is an arithmetic number, because the mean of its divisors is an integer number (486720).

Almost surely, 213081000 is an apocalyptic number.

13081000 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 13081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15575040).

13081000 is an abundant number, since it is smaller than the sum of its proper divisors (18069080).

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

13081000 is a wasteful number, since it uses less digits than its factorization.

13081000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 13081000 is about 3616.7665116786. The cubic root of 13081000 is about 235.6208121220.

Adding to 13081000 its reverse (18031), we get a palindrome (13099031).

The spelling of 13081000 in words is "thirteen million, eighty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 127 200 206 250 254 412 500 508 515 635 824 1000 1016 1030 1270 2060 2540 2575 3175 4120 5080 5150 6350 10300 12700 12875 13081 15875 20600 25400 25750 26162 31750 51500 52324 63500 65405 103000 104648 127000 130810 261620 327025 523240 654050 1308100 1635125 2616200 3270250 6540500 13081000