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13210340 = 225111331149
BaseRepresentation
bin110010011001…
…001011100100
3220212011011212
4302121023210
511340212330
61151050552
7220200053
oct62311344
926764155
1013210340
117503140
124510a58
132976b90
141a7c39a
15125e295
hexc992e4

13210340 has 96 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 4262400.

The previous prime is 13210313. The next prime is 13210357. The reversal of 13210340 is 4301231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88586 + ... + 88734.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 213210340 is an apocalyptic number.

13210340 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 13210340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

13210340 is an abundant number, since it is smaller than the sum of its proper divisors (20658460).

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

13210340 is a wasteful number, since it uses less digits than its factorization.

13210340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

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

The square root of 13210340 is about 3634.6031420225. The cubic root of 13210340 is about 236.3948431990.

Adding to 13210340 its reverse (4301231), we get a palindrome (17511571).

The spelling of 13210340 in words is "thirteen million, two hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 31 44 52 55 62 65 110 124 130 143 149 155 220 260 286 298 310 341 403 572 596 620 682 715 745 806 1364 1430 1490 1612 1639 1705 1937 2015 2860 2980 3278 3410 3874 4030 4433 4619 6556 6820 7748 8060 8195 8866 9238 9685 16390 17732 18476 19370 21307 22165 23095 32780 38740 42614 44330 46190 50809 60047 85228 88660 92380 101618 106535 120094 203236 213070 240188 254045 300235 426140 508090 600470 660517 1016180 1200940 1321034 2642068 3302585 6605170 13210340