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13349780 = 225192432
BaseRepresentation
bin110010111011…
…001110010100
3221010020110022
4302323032110
511404143110
61154044312
7221320433
oct62731624
927106408
1013349780
117598984
124579698
1329c54a2
141ab711a
15128a755
hexcbb394

13349780 has 54 divisors (see below), whose sum is σ = 30291786. Its totient is φ = 4941216.

The previous prime is 13349779. The next prime is 13349783. The reversal of 13349780 is 8794331.

It can be written as a sum of positive squares in only one way, i.e., 10679824 + 2669956 = 3268^2 + 1634^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13349780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13349783) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 310439 + ... + 310481.

It is an arithmetic number, because the mean of its divisors is an integer number (560959).

Almost surely, 213349780 is an apocalyptic number.

13349780 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 13349780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15145893).

13349780 is an abundant number, since it is smaller than the sum of its proper divisors (16942006).

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

13349780 is a wasteful number, since it uses less digits than its factorization.

13349780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 13349780 is about 3653.7350752347. The cubic root of 13349780 is about 237.2236786363.

The spelling of 13349780 in words is "thirteen million, three hundred forty-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 361 380 430 722 817 860 1444 1634 1805 1849 3268 3610 3698 4085 7220 7396 8170 9245 15523 16340 18490 31046 35131 36980 62092 70262 77615 140524 155230 175655 310460 351310 667489 702620 1334978 2669956 3337445 6674890 13349780