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2440820 = 225122041
BaseRepresentation
bin1001010011111001110100
311121000011202
421103321310
51111101240
6124152032
726514044
oct11237164
94530152
102440820
111417908
12998618
13675c95
14477724
15333315
hex253e74

2440820 has 12 divisors (see below), whose sum is σ = 5125764. Its totient is φ = 976320.

The previous prime is 2440819. The next prime is 2440831. The reversal of 2440820 is 280442.

It can be written as a sum of positive squares in 2 ways, for example, as 708964 + 1731856 = 842^2 + 1316^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 122041 = 2440820 / (2 + 4 + 4 + 0 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2440792 and 2440801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61001 + ... + 61040.

It is an arithmetic number, because the mean of its divisors is an integer number (427147).

22440820 is an apocalyptic number.

2440820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440820 is an abundant number, since it is smaller than the sum of its proper divisors (2684944).

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

2440820 is a wasteful number, since it uses less digits than its factorization.

2440820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122050 (or 122048 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2440820 is about 1562.3123887366. The cubic root of 2440820 is about 134.6413893456.

The spelling of 2440820 in words is "two million, four hundred forty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 122041 244082 488164 610205 1220410 2440820