Search a number
-
+
1825840 = 24529787
BaseRepresentation
bin110111101110000110000
310102202120201
412331300300
5431411330
6103044544
721343102
oct6756060
93382521
101825840
111037865
12740754
134bc0a3
14357572
15260eca
hex1bdc30

1825840 has 40 divisors (see below), whose sum is σ = 4397040. Its totient is φ = 704256.

The previous prime is 1825829. The next prime is 1825861. The reversal of 1825840 is 485281.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1825799 and 1825808.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1927 + ... + 2713.

It is an arithmetic number, because the mean of its divisors is an integer number (109926).

21825840 is an apocalyptic number.

1825840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1825840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198520).

1825840 is an abundant number, since it is smaller than the sum of its proper divisors (2571200).

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

1825840 is a wasteful number, since it uses less digits than its factorization.

1825840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 1825840 is about 1351.2364707926. The cubic root of 1825840 is about 122.2233657683.

The spelling of 1825840 in words is "one million, eight hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 787 1160 1574 2320 3148 3935 6296 7870 12592 15740 22823 31480 45646 62960 91292 114115 182584 228230 365168 456460 912920 1825840