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13311340 = 2257217247
BaseRepresentation
bin110010110001…
…110101101100
3221001021201121
4302301311230
511401430330
61153150324
7221100400
oct62616554
927037647
1013311340
117572009
12455b3a4
1329b0b43
141aa7100
15127e17a
hexcb1d6c

13311340 has 108 divisors (see below), whose sum is σ = 35277984. Its totient is φ = 4204032.

The previous prime is 13311317. The next prime is 13311349. The reversal of 13311340 is 4311331.

13311340 = T729 + T730 + ... + T775.

It is not an unprimeable number, because it can be changed into a prime (13311349) 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 35 ways as a sum of consecutive naturals, for example, 283197 + ... + 283243.

It is an arithmetic number, because the mean of its divisors is an integer number (326648).

Almost surely, 213311340 is an apocalyptic number.

13311340 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 13311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17638992).

13311340 is an abundant number, since it is smaller than the sum of its proper divisors (21966644).

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

13311340 is a wasteful number, since it uses less digits than its factorization.

13311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 13311340 is about 3648.4709125879. The cubic root of 13311340 is about 236.9957686462.

Adding to 13311340 its reverse (4311331), we get a palindrome (17622671).

Subtracting from 13311340 its reverse (4311331), we obtain a palindrome (9000009).

The spelling of 13311340 in words is "thirteen million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 47 49 68 70 85 94 98 119 140 170 188 196 235 238 245 289 329 340 470 476 490 578 595 658 799 833 940 980 1156 1190 1316 1445 1598 1645 1666 2023 2303 2380 2890 3196 3290 3332 3995 4046 4165 4606 5593 5780 6580 7990 8092 8330 9212 10115 11186 11515 13583 14161 15980 16660 20230 22372 23030 27166 27965 28322 39151 40460 46060 54332 55930 56644 67915 70805 78302 95081 111860 135830 141610 156604 190162 195755 271660 283220 380324 391510 475405 665567 783020 950810 1331134 1901620 2662268 3327835 6655670 13311340