Search a number
-
+
13106760 = 2335239457
BaseRepresentation
bin110001111111…
…111001001000
3220122220002120
4301333321020
511323404020
61144531240
7216256062
oct61777110
926586076
1013106760
117442337
124480b20
13293b9a4
141a52732
15123d740
hexc7fe48

13106760 has 64 divisors (see below), whose sum is σ = 39571200. Its totient is φ = 3472896.

The previous prime is 13106747. The next prime is 13106761. The reversal of 13106760 is 6760131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13106760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13106761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28452 + ... + 28908.

It is an arithmetic number, because the mean of its divisors is an integer number (618300).

Almost surely, 213106760 is an apocalyptic number.

13106760 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 13106760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19785600).

13106760 is an abundant number, since it is smaller than the sum of its proper divisors (26464440).

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

13106760 is a wasteful number, since it uses less digits than its factorization.

13106760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 13106760 is about 3620.3259521761. The cubic root of 13106760 is about 235.7753775797.

Adding to 13106760 its reverse (6760131), we get a palindrome (19866891).

The spelling of 13106760 in words is "thirteen million, one hundred six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 457 478 717 914 956 1195 1371 1434 1828 1912 2285 2390 2742 2868 3585 3656 4570 4780 5484 5736 6855 7170 9140 9560 10968 13710 14340 18280 27420 28680 54840 109223 218446 327669 436892 546115 655338 873784 1092230 1310676 1638345 2184460 2621352 3276690 4368920 6553380 13106760