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5820417 = 34181397
BaseRepresentation
bin10110001101000000000001
3101221201010000
4112031000001
52442223132
6324430213
7100321101
oct26150001
911851100
105820417
113315a69
121b48369
13128a345
14ab7201
1579e87c
hex58d001

5820417 has 20 divisors (see below), whose sum is σ = 8764756. Its totient is φ = 3849120.

The previous prime is 5820389. The next prime is 5820421. The reversal of 5820417 is 7140285.

It can be written as a sum of positive squares in 2 ways, for example, as 1498176 + 4322241 = 1224^2 + 2079^2 .

It is not a de Polignac number, because 5820417 - 210 = 5819393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5820487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14463 + ... + 14859.

It is a Proth number, since it is equal to 1421 ⋅ 212 + 1 and 1421 < 212.

Almost surely, 25820417 is an apocalyptic number.

It is an amenable number.

5820417 is a deficient number, since it is larger than the sum of its proper divisors (2944339).

5820417 is a wasteful number, since it uses less digits than its factorization.

5820417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5820417 is about 2412.5540408455. The cubic root of 5820417 is about 179.8807543534.

The spelling of 5820417 in words is "five million, eight hundred twenty thousand, four hundred seventeen".

Divisors: 1 3 9 27 81 181 397 543 1191 1629 3573 4887 10719 14661 32157 71857 215571 646713 1940139 5820417