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13213340 = 2257297139
BaseRepresentation
bin110010011001…
…111010011100
3220212022021222
4302121322130
511340311330
61151112512
7220211600
oct62317234
926768258
1013213340
117505418
124512738
13297835a
141a7d500
1512600e5
hexc99e9c

13213340 has 72 divisors (see below), whose sum is σ = 32845680. Its totient is φ = 4451328.

The previous prime is 13213331. The next prime is 13213363. The reversal of 13213340 is 4331231.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 94991 + ... + 95129.

It is an arithmetic number, because the mean of its divisors is an integer number (456190).

Almost surely, 213213340 is an apocalyptic number.

13213340 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 13213340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16422840).

13213340 is an abundant number, since it is smaller than the sum of its proper divisors (19632340).

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

13213340 is a wasteful number, since it uses less digits than its factorization.

13213340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 13213340 is about 3635.0158183975. The cubic root of 13213340 is about 236.4127365273.

Adding to 13213340 its reverse (4331231), we get a palindrome (17544571).

The spelling of 13213340 in words is "thirteen million, two hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 97 98 139 140 194 196 245 278 388 485 490 556 679 695 970 973 980 1358 1390 1940 1946 2716 2780 3395 3892 4753 4865 6790 6811 9506 9730 13483 13580 13622 19012 19460 23765 26966 27244 34055 47530 53932 67415 68110 94381 95060 134830 136220 188762 269660 377524 471905 660667 943810 1321334 1887620 2642668 3303335 6606670 13213340