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416105020 = 225199104549
BaseRepresentation
bin11000110011010…
…100001000111100
31001222222022210001
4120303110020330
51323010330040
6105142324044
713211556112
oct3063241074
91058868701
10416105020
111a3975951
12b7429624
136828cbb6
143d397ab2
15267e559a
hex18cd423c

416105020 has 24 divisors (see below), whose sum is σ = 878220000. Its totient is φ = 165604032.

The previous prime is 416104991. The next prime is 416105047. The reversal of 416105020 is 20501614.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 48295 + ... + 56254.

It is an arithmetic number, because the mean of its divisors is an integer number (36592500).

Almost surely, 2416105020 is an apocalyptic number.

It is an amenable number.

416105020 is an abundant number, since it is smaller than the sum of its proper divisors (462114980).

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

416105020 is a wasteful number, since it uses less digits than its factorization.

416105020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104757 (or 104755 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 416105020 is about 20398.6524064704. The cubic root of 416105020 is about 746.5650447193.

Adding to 416105020 its reverse (20501614), we get a palindrome (436606634).

The spelling of 416105020 in words is "four hundred sixteen million, one hundred five thousand, twenty".

Divisors: 1 2 4 5 10 20 199 398 796 995 1990 3980 104549 209098 418196 522745 1045490 2090980 20805251 41610502 83221004 104026255 208052510 416105020