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135082710 = 23257230631
BaseRepresentation
bin10000000110100…
…11001011010110
3100102011220122100
420003103023112
5234040121320
621223142530
73230120100
oct1003231326
9312156570
10135082710
116a283704
12392a4a46
1321ca80c9
1413d24570
15bcd4790
hex80d32d6

135082710 has 72 divisors (see below), whose sum is σ = 408569616. Its totient is φ = 30875040.

The previous prime is 135082709. The next prime is 135082711. The reversal of 135082710 is 17280531.

It is an interprime number because it is at equal distance from previous prime (135082709) and next prime (135082711).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135082711) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10906 + ... + 19725.

It is an arithmetic number, because the mean of its divisors is an integer number (5674578).

Almost surely, 2135082710 is an apocalyptic number.

135082710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135082710 is an abundant number, since it is smaller than the sum of its proper divisors (273486906).

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

135082710 is a wasteful number, since it uses less digits than its factorization.

135082710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30658 (or 30648 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 135082710 is about 11622.5087653226. The cubic root of 135082710 is about 513.0975271414.

The spelling of 135082710 in words is "one hundred thirty-five million, eighty-two thousand, seven hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 30631 61262 91893 153155 183786 214417 275679 306310 428834 459465 551358 643251 918930 1072085 1286502 1378395 1500919 1929753 2144170 2756790 3001838 3216255 3859506 4502757 6432510 7504595 9005514 9648765 13508271 15009190 19297530 22513785 27016542 45027570 67541355 135082710