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13705230 = 23571117349
BaseRepresentation
bin110100010010…
…000000001110
3221210022001010
4310102000032
512002031410
61205430050
7224330640
oct64220016
927708033
1013705230
117810a40
12470b326
132abb206
141b6a890
15130ac20
hexd1200e

13705230 has 128 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 2672640.

The previous prime is 13705187. The next prime is 13705231. The reversal of 13705230 is 3250731.

It is a happy number.

13705230 is a nontrivial binomial coefficient, being equal to C(5236, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13705197 and 13705206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13705231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39096 + ... + 39444.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 213705230 is an apocalyptic number.

13705230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13705230 is the 5235-th triangular number and also the 2618-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13705230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

13705230 is an abundant number, since it is smaller than the sum of its proper divisors (29840370).

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

13705230 is a wasteful number, since it uses less digits than its factorization.

13705230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 13705230 is about 3702.0575360197. The cubic root of 13705230 is about 239.3106957550.

Adding to 13705230 its reverse (3250731), we get a palindrome (16955961).

The spelling of 13705230 in words is "thirteen million, seven hundred five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 17 21 22 30 33 34 35 42 51 55 66 70 77 85 102 105 110 119 154 165 170 187 210 231 238 255 330 349 357 374 385 462 510 561 595 698 714 770 935 1047 1122 1155 1190 1309 1745 1785 1870 2094 2310 2443 2618 2805 3490 3570 3839 3927 4886 5235 5610 5933 6545 7329 7678 7854 10470 11517 11866 12215 13090 14658 17799 19195 19635 23034 24430 26873 29665 35598 36645 38390 39270 41531 53746 57585 59330 65263 73290 80619 83062 88995 115170 124593 130526 134365 161238 177990 195789 207655 249186 268730 326315 391578 403095 415310 456841 622965 652630 806190 913682 978945 1245930 1370523 1957890 2284205 2741046 4568410 6852615 13705230