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135246210 = 2351123103173
BaseRepresentation
bin10000000111110…
…11000110000010
3100102111012220220
420003323012002
5234110334320
621230443510
73231400551
oct1003730602
9312435826
10135246210
116a385530
1239363596
1322034658
1413d67d98
15bd17e40
hex80fb182

135246210 has 128 divisors (see below), whose sum is σ = 375238656. Its totient is φ = 30877440.

The previous prime is 135246191. The next prime is 135246217. The reversal of 135246210 is 12642531.

135246210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (135246217) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 781684 + ... + 781856.

It is an arithmetic number, because the mean of its divisors is an integer number (2931552).

Almost surely, 2135246210 is an apocalyptic number.

135246210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135246210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187619328).

135246210 is an abundant number, since it is smaller than the sum of its proper divisors (239992446).

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

135246210 is a wasteful number, since it uses less digits than its factorization.

135246210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 135246210 is about 11629.5404036445. The cubic root of 135246210 is about 513.3044562193.

Adding to 135246210 its reverse (12642531), we get a palindrome (147888741).

The spelling of 135246210 in words is "one hundred thirty-five million, two hundred forty-six thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 103 110 115 138 165 173 206 230 253 309 330 345 346 506 515 519 618 690 759 865 1030 1038 1133 1265 1518 1545 1730 1903 2266 2369 2530 2595 3090 3399 3795 3806 3979 4738 5190 5665 5709 6798 7107 7590 7958 9515 11330 11418 11845 11937 14214 16995 17819 19030 19895 23690 23874 26059 28545 33990 35535 35638 39790 43769 52118 53457 57090 59685 71070 78177 87538 89095 106914 119370 130295 131307 156354 178190 196009 218845 260590 262614 267285 390885 392018 409837 437690 534570 588027 656535 781770 819674 980045 1176054 1229511 1313070 1960090 2049185 2459022 2940135 4098370 4508207 5880270 6147555 9016414 12295110 13524621 22541035 27049242 45082070 67623105 135246210