Search a number
-
+
1820124 = 223319887
BaseRepresentation
bin110111100010111011100
310102110202000
412330113130
5431220444
6103002300
721320325
oct6742734
93373660
101820124
111033539
12739390
134b95c7
1435544c
1525e469
hex1bc5dc

1820124 has 48 divisors (see below), whose sum is σ = 4972800. Its totient is φ = 574128.

The previous prime is 1820123. The next prime is 1820129. The reversal of 1820124 is 4210281.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1820097 and 1820106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1609 + ... + 2495.

It is an arithmetic number, because the mean of its divisors is an integer number (103600).

21820124 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 1820124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486400).

1820124 is an abundant number, since it is smaller than the sum of its proper divisors (3152676).

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

1820124 is a wasteful number, since it uses less digits than its factorization.

1820124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1820124 is about 1349.1197129981. The cubic root of 1820124 is about 122.0956877178.

It can be divided in two parts, 18201 and 24, that added together give a square (18225 = 1352).

The spelling of 1820124 in words is "one million, eight hundred twenty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 887 1026 1774 2052 2661 3548 5322 7983 10644 15966 16853 23949 31932 33706 47898 50559 67412 95796 101118 151677 202236 303354 455031 606708 910062 1820124