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68420660 = 22572112577
BaseRepresentation
bin1000001010000…
…00010000110100
311202202010111112
410011000100310
5120003430120
610442254152
71460365100
oct405002064
9152663445
1068420660
1135692500
121aab7358
13112379c9
149130900
156017bc5
hex4140434

68420660 has 108 divisors (see below), whose sum is σ = 184036356. Its totient is φ = 21288960.

The previous prime is 68420647. The next prime is 68420663. The reversal of 68420660 is 6602486.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 52388644 + 16032016 = 7238^2 + 4004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68420663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118292 + ... + 118868.

Almost surely, 268420660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68420660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92018178).

68420660 is an abundant number, since it is smaller than the sum of its proper divisors (115615696).

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

68420660 is a wasteful number, since it uses less digits than its factorization.

68420660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 68420660 is about 8271.6781852294. The cubic root of 68420660 is about 409.0054418686.

The spelling of 68420660 in words is "sixty-eight million, four hundred twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 121 140 154 196 220 242 245 308 385 484 490 539 577 605 770 847 980 1078 1154 1210 1540 1694 2156 2308 2420 2695 2885 3388 4039 4235 5390 5770 5929 6347 8078 8470 10780 11540 11858 12694 16156 16940 20195 23716 25388 28273 29645 31735 40390 44429 56546 59290 63470 69817 80780 88858 113092 118580 126940 139634 141365 177716 222145 279268 282730 311003 349085 444290 488719 565460 622006 698170 888580 977438 1244012 1396340 1555015 1954876 2443595 3110030 3421033 4887190 6220060 6842066 9774380 13684132 17105165 34210330 68420660