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68058020 = 2253123541
BaseRepresentation
bin1000000111001…
…11101110100100
311202001201001102
410003213232210
5114410324040
610430415232
71454324612
oct403475644
9152051042
1068058020
1135464aa8
121a961518
131113b924
1490786b2
155e95515
hex40e7ba4

68058020 has 36 divisors (see below), whose sum is σ = 147722652. Its totient is φ = 26337600.

The previous prime is 68058007. The next prime is 68058043. The reversal of 68058020 is 2085086.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26481316 + 41576704 = 5146^2 + 6448^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17450 + ... + 20990.

It is an arithmetic number, because the mean of its divisors is an integer number (4103407).

Almost surely, 268058020 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 68058020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73861326).

68058020 is an abundant number, since it is smaller than the sum of its proper divisors (79664632).

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

68058020 is a wasteful number, since it uses less digits than its factorization.

68058020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 68058020 is about 8249.7284803804. The cubic root of 68058020 is about 408.2815642639.

The spelling of 68058020 in words is "sixty-eight million, fifty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1922 3541 3844 4805 7082 9610 14164 17705 19220 35410 70820 109771 219542 439084 548855 1097710 2195420 3402901 6805802 13611604 17014505 34029010 68058020