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68436810 = 232513292017
BaseRepresentation
bin1000001010001…
…00001101001010
311202202221122200
410011010031022
5120004434220
610442501030
71460463141
oct405041512
9152687580
1068436810
11356a3652
121ab04776
1311242170
149136758
15601c890
hex414434a

68436810 has 96 divisors (see below), whose sum is σ = 198329040. Its totient is φ = 16257024.

The previous prime is 68436793. The next prime is 68436821. The reversal of 68436810 is 1863486.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 29909961 + 38526849 = 5469^2 + 6207^2 .

It is a super-2 number, since 2×684368102 = 9367193925952200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32922 + ... + 34938.

Almost surely, 268436810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68436810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99164520).

68436810 is an abundant number, since it is smaller than the sum of its proper divisors (129892230).

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

68436810 is a wasteful number, since it uses less digits than its factorization.

68436810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 68436810 is about 8272.6543503280. The cubic root of 68436810 is about 409.0376198601.

The spelling of 68436810 in words is "sixty-eight million, four hundred thirty-six thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 29 30 39 45 58 65 78 87 90 117 130 145 174 195 234 261 290 377 390 435 522 585 754 870 1131 1170 1305 1885 2017 2262 2610 3393 3770 4034 5655 6051 6786 10085 11310 12102 16965 18153 20170 26221 30255 33930 36306 52442 58493 60510 78663 90765 116986 131105 157326 175479 181530 235989 262210 292465 350958 393315 471978 526437 584930 760409 786630 877395 1052874 1179945 1520818 1754790 2281227 2359890 2632185 3802045 4562454 5264370 6843681 7604090 11406135 13687362 22812270 34218405 68436810