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68858010 = 232513229257
BaseRepresentation
bin1000001101010…
…11000010011010
311210120100102200
410012223002122
5120111424020
610455511030
71464166134
oct406530232
9153510380
1068858010
1135961051
121b088476
131135bab0
149206054
1560a2590
hex41ab09a

68858010 has 96 divisors (see below), whose sum is σ = 194397840. Its totient is φ = 16809984.

The previous prime is 68857993. The next prime is 68858017. The reversal of 68858010 is 1085886.

68858010 is a `hidden beast` number, since 68 + 8 + 580 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 55219761 + 13638249 = 7431^2 + 3693^2 .

It is not an unprimeable number, because it can be changed into a prime (68858017) 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 47 ways as a sum of consecutive naturals, for example, 267802 + ... + 268058.

Almost surely, 268858010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68858010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97198920).

68858010 is an abundant number, since it is smaller than the sum of its proper divisors (125539830).

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

68858010 is a wasteful number, since it uses less digits than its factorization.

68858010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 68858010 is about 8298.0726677946. The cubic root of 68858010 is about 409.8750561183.

The spelling of 68858010 in words is "sixty-eight million, eight hundred fifty-eight thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 229 234 257 390 458 514 585 687 771 1145 1170 1285 1374 1542 2061 2290 2313 2570 2977 3341 3435 3855 4122 4626 5954 6682 6870 7710 8931 10023 10305 11565 14885 16705 17862 20046 20610 23130 26793 29770 30069 33410 44655 50115 53586 58853 60138 89310 100230 117706 133965 150345 176559 267930 294265 300690 353118 529677 588530 765089 882795 1059354 1530178 1765590 2295267 2648385 3825445 4590534 5296770 6885801 7650890 11476335 13771602 22952670 34429005 68858010