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5836820 = 2251143617
BaseRepresentation
bin10110010001000000010100
3101222112121112
4112101000110
52443234240
6325034152
7100416653
oct26210024
911875545
105836820
113327320
121b55958
131294952
14abd19a
157a4665
hex591014

5836820 has 48 divisors (see below), whose sum is σ = 13704768. Its totient is φ = 2069760.

The previous prime is 5836813. The next prime is 5836823. The reversal of 5836820 is 286385.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5836823) 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 15 ways as a sum of consecutive naturals, for example, 9152 + ... + 9768.

It is an arithmetic number, because the mean of its divisors is an integer number (285516).

Almost surely, 25836820 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 5836820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852384).

5836820 is an abundant number, since it is smaller than the sum of its proper divisors (7867948).

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

5836820 is a wasteful number, since it uses less digits than its factorization.

5836820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 5836820 is about 2415.9511584467. The cubic root of 5836820 is about 180.0495748224.

The spelling of 5836820 in words is "five million, eight hundred thirty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 617 860 946 1234 1892 2365 2468 3085 4730 6170 6787 9460 12340 13574 26531 27148 33935 53062 67870 106124 132655 135740 265310 291841 530620 583682 1167364 1459205 2918410 5836820