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820130046 = 23379336037
BaseRepresentation
bin110000111000100…
…011000011111110
32010011012220220220
4300320203003332
53134423130141
6213214122210
726215663461
oct6070430376
92104186826
10820130046
11390a3a92a
121aa7b0366
13100bb0568
147acc92d8
154c001766
hex30e230fe

820130046 has 16 divisors (see below), whose sum is σ = 1640738064. Its totient is φ = 273297024.

The previous prime is 820130029. The next prime is 820130057. The reversal of 820130046 is 640031028.

It is a happy number.

820130046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8201300462 = 1345226584703924232, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 820129998 and 820130025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4740 + ... + 40776.

It is an arithmetic number, because the mean of its divisors is an integer number (102546129).

Almost surely, 2820130046 is an apocalyptic number.

820130046 is an abundant number, since it is smaller than the sum of its proper divisors (820608018).

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

820130046 is a wasteful number, since it uses less digits than its factorization.

820130046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39835.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 820130046 is about 28637.9127381868. The cubic root of 820130046 is about 936.0396400956.

The spelling of 820130046 in words is "eight hundred twenty million, one hundred thirty thousand, forty-six".

Divisors: 1 2 3 6 3793 7586 11379 22758 36037 72074 108111 216222 136688341 273376682 410065023 820130046