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416021620 = 225717174799
BaseRepresentation
bin11000110010111…
…111110001110100
31001222211002101011
4120302333301310
51323000142440
6105140442004
713211061010
oct3062776164
91058732334
10416021620
111a3919223
12b73a9304
1368260c51
143d375540
15267ca9ea
hex18cbfc74

416021620 has 48 divisors (see below), whose sum is σ = 1057190400. Its totient is φ = 134244864.

The previous prime is 416021563. The next prime is 416021623. The reversal of 416021620 is 26120614.

It is a junction number, because it is equal to n+sod(n) for n = 416021591 and 416021600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416021623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85020 + ... + 89779.

It is an arithmetic number, because the mean of its divisors is an integer number (22024800).

Almost surely, 2416021620 is an apocalyptic number.

It is an amenable number.

416021620 is an abundant number, since it is smaller than the sum of its proper divisors (641168780).

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

416021620 is a wasteful number, since it uses less digits than its factorization.

416021620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174832 (or 174830 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 416021620 is about 20396.6080513403. The cubic root of 416021620 is about 746.5151633335.

The spelling of 416021620 in words is "four hundred sixteen million, twenty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 174799 349598 699196 873995 1223593 1747990 2447186 2971583 3495980 4894372 5943166 6117965 11886332 12235930 14857915 20801081 24471860 29715830 41602162 59431660 83204324 104005405 208010810 416021620