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2006080 = 2656269
BaseRepresentation
bin111101001110001000000
310202220211021
413221301000
51003143310
6110555224
723023426
oct7516100
93686737
102006080
11115021a
12808b14
1355313b
143a3116
152995da
hex1e9c40

2006080 has 28 divisors (see below), whose sum is σ = 4777740. Its totient is φ = 802304.

The previous prime is 2006071. The next prime is 2006087. The reversal of 2006080 is 806002.

It can be written as a sum of positive squares in 2 ways, for example, as 678976 + 1327104 = 824^2 + 1152^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2006087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2815 + ... + 3454.

22006080 is an apocalyptic number.

2006080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006080 is an abundant number, since it is smaller than the sum of its proper divisors (2771660).

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

2006080 is an equidigital number, since it uses as much as digits as its factorization.

2006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6286 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2006080 is about 1416.3615357669. The cubic root of 2006080 is about 126.1196478330.

The spelling of 2006080 in words is "two million, six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 6269 12538 25076 31345 50152 62690 100304 125380 200608 250760 401216 501520 1003040 2006080