Search a number
-
+
13007260 = 2257531753
BaseRepresentation
bin110001100111…
…100110011100
3220110211121101
4301213212130
511312213020
61142442444
7215363020
oct61474634
926424541
1013007260
117384602
124433424
132905606
141a28380
15121e00a
hexc6799c

13007260 has 48 divisors (see below), whose sum is σ = 31824576. Its totient is φ = 4372992.

The previous prime is 13007257. The next prime is 13007273. The reversal of 13007260 is 6270031.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6544 + ... + 8296.

It is an arithmetic number, because the mean of its divisors is an integer number (663012).

Almost surely, 213007260 is an apocalyptic number.

13007260 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 13007260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912288).

13007260 is an abundant number, since it is smaller than the sum of its proper divisors (18817316).

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

13007260 is a wasteful number, since it uses less digits than its factorization.

13007260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 13007260 is about 3606.5579157973. The cubic root of 13007260 is about 235.1772316260.

Adding to 13007260 its reverse (6270031), we get a palindrome (19277291).

The spelling of 13007260 in words is "thirteen million, seven thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1753 1855 3506 3710 7012 7420 8765 12271 17530 24542 35060 49084 61355 92909 122710 185818 245420 371636 464545 650363 929090 1300726 1858180 2601452 3251815 6503630 13007260