Search a number
-
+
2048020 = 225137877
BaseRepresentation
bin111110100000000010100
310212001100121
413310000110
51011014040
6111521324
723256622
oct7640024
93761317
102048020
111179787
12829244
13569260
143b4512
152a6c4a
hex1f4014

2048020 has 24 divisors (see below), whose sum is σ = 4632264. Its totient is φ = 756096.

The previous prime is 2048017. The next prime is 2048021. The reversal of 2048020 is 208402.

It can be written as a sum of positive squares in 4 ways, for example, as 8836 + 2039184 = 94^2 + 1428^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2047985 and 2048003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3679 + ... + 4198.

It is an arithmetic number, because the mean of its divisors is an integer number (193011).

22048020 is an apocalyptic number.

2048020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048020 is an abundant number, since it is smaller than the sum of its proper divisors (2584244).

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

2048020 is a wasteful number, since it uses less digits than its factorization.

2048020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7899 (or 7897 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2048020 is about 1431.0904932952. The cubic root of 2048020 is about 126.9924975418.

It can be divided in two parts, 20480 and 20, that multiplied together give a square (409600 = 6402).

The spelling of 2048020 in words is "two million, forty-eight thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 7877 15754 31508 39385 78770 102401 157540 204802 409604 512005 1024010 2048020