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1825000 = 235573
BaseRepresentation
bin110111101100011101000
310102201102121
412331203220
5431400000
6103041024
721340462
oct6754350
93381377
101825000
111037171
12740174
134bb8a8
14357132
15260b1a
hex1bd8e8

1825000 has 48 divisors (see below), whose sum is σ = 4335660. Its totient is φ = 720000.

The previous prime is 1824997. The next prime is 1825003. The reversal of 1825000 is 5281.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1824997) and next prime (1825003).

It can be written as a sum of positive squares in 6 ways, for example, as 181476 + 1643524 = 426^2 + 1282^2 .

It is not an unprimeable number, because it can be changed into a prime (1825003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24964 + ... + 25036.

21825000 is an apocalyptic number.

1825000 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 1825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167830).

1825000 is an abundant number, since it is smaller than the sum of its proper divisors (2510660).

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

1825000 is an frugal number, since it uses more digits than its factorization.

1825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1825000 is about 1350.9256086106. The cubic root of 1825000 is about 122.2046194423.

The spelling of 1825000 in words is "one million, eight hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 625 730 1000 1250 1460 1825 2500 2920 3125 3650 5000 6250 7300 9125 12500 14600 18250 25000 36500 45625 73000 91250 182500 228125 365000 456250 912500 1825000