Search a number
-
+
13000460 = 2251159093
BaseRepresentation
bin110001100101…
…111100001100
3220110111021112
4301211330030
511312003320
61142351152
7215334134
oct61457414
926414245
1013000460
11737a490
12442b4b8
1329024a5
141a25ac4
15121bec5
hexc65f0c

13000460 has 24 divisors (see below), whose sum is σ = 29783376. Its totient is φ = 4727360.

The previous prime is 13000457. The next prime is 13000469. The reversal of 13000460 is 6400031.

13000460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13000469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29327 + ... + 29766.

It is an arithmetic number, because the mean of its divisors is an integer number (1240974).

Almost surely, 213000460 is an apocalyptic number.

13000460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000460 is an abundant number, since it is smaller than the sum of its proper divisors (16782916).

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

13000460 is a wasteful number, since it uses less digits than its factorization.

13000460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59113 (or 59111 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13000460 is about 3605.6150654223. The cubic root of 13000460 is about 235.1362421085.

Adding to 13000460 its reverse (6400031), we get a palindrome (19400491).

The spelling of 13000460 in words is "thirteen million, four hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 59093 118186 236372 295465 590930 650023 1181860 1300046 2600092 3250115 6500230 13000460