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5183820 = 2232531929
BaseRepresentation
bin10011110001100101001100
3100202100212100
4103301211030
52311340240
6303035100
762030115
oct23614514
910670770
105183820
112a20754
12189ba90
1310c6665
1498d20c
156c5e30
hex4f194c

5183820 has 72 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 1336320.

The previous prime is 5183819. The next prime is 5183821. The reversal of 5183820 is 283815.

It is a happy number.

5183820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5183819) and next prime (5183821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5183821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5116 + ... + 6044.

It is an arithmetic number, because the mean of its divisors is an integer number (225680).

Almost surely, 25183820 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 5183820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

5183820 is an abundant number, since it is smaller than the sum of its proper divisors (11065140).

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

5183820 is a wasteful number, since it uses less digits than its factorization.

5183820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5183820 is about 2276.8003865073. The cubic root of 5183820 is about 173.0679452893.

The spelling of 5183820 in words is "five million, one hundred eighty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 929 930 1116 1395 1858 1860 2787 2790 3716 4645 5574 5580 8361 9290 11148 13935 16722 18580 27870 28799 33444 41805 55740 57598 83610 86397 115196 143995 167220 172794 259191 287990 345588 431985 518382 575980 863970 1036764 1295955 1727940 2591910 5183820