Search a number
-
+
1830125 = 53114
BaseRepresentation
bin110111110110011101101
310102222110102
412332303231
5432031000
6103120445
721361433
oct6766355
93388412
101830125
111040000
12743125
134c101b
14358d53
152623d5
hex1beced

1830125 has 20 divisors (see below), whose sum is σ = 2512380. Its totient is φ = 1331000.

The previous prime is 1830119. The next prime is 1830163. The reversal of 1830125 is 5210381.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 58564 + 1771561 = 242^2 + 1331^2 .

It is not a de Polignac number, because 1830125 - 214 = 1813741 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1830097 and 1830106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 166370 + ... + 166380.

It is an arithmetic number, because the mean of its divisors is an integer number (125619).

21830125 is an apocalyptic number.

It is an amenable number.

1830125 is a deficient number, since it is larger than the sum of its proper divisors (682255).

1830125 is an frugal number, since it uses more digits than its factorization.

1830125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1830125 is about 1352.8211263874. The cubic root of 1830125 is about 122.3189049813.

Multiplying 1830125 by its sum of digits (20), we get a square (36602500 = 60502).

The spelling of 1830125 in words is "one million, eight hundred thirty thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 1331 1375 3025 6655 14641 15125 33275 73205 166375 366025 1830125