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2006560 = 25512541
BaseRepresentation
bin111101001111000100000
310202221111001
413221320200
51003202220
6111001344
723025013
oct7517040
93687431
102006560
111150616
12809254
1355341a
143a337a
1529980a
hex1e9e20

2006560 has 24 divisors (see below), whose sum is σ = 4740876. Its totient is φ = 802560.

The previous prime is 2006549. The next prime is 2006573. The reversal of 2006560 is 656002.

It can be written as a sum of positive squares in 2 ways, for example, as 1971216 + 35344 = 1404^2 + 188^2 .

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, 6111 + ... + 6430.

22006560 is an apocalyptic number.

2006560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006560 is an abundant number, since it is smaller than the sum of its proper divisors (2734316).

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

2006560 is a wasteful number, since it uses less digits than its factorization.

2006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12556 (or 12548 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2006560 is about 1416.5309738936. The cubic root of 2006560 is about 126.1297060233.

The spelling of 2006560 in words is "two million, six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 12541 25082 50164 62705 100328 125410 200656 250820 401312 501640 1003280 2006560