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6402080 = 25540013
BaseRepresentation
bin11000011011000000100000
3110001021000002
4120123000200
53114331310
6345115132
7105262646
oct30330040
913037002
106402080
113682a83
122188aa8
131432019
14bc9196
15866da5
hex61b020

6402080 has 24 divisors (see below), whose sum is σ = 15125292. Its totient is φ = 2560768.

The previous prime is 6402079. The next prime is 6402091. The reversal of 6402080 is 802046.

It can be written as a sum of positive squares in 2 ways, for example, as 6330256 + 71824 = 2516^2 + 268^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19847 + ... + 20166.

Almost surely, 26402080 is an apocalyptic number.

It is an amenable number.

6402080 is an abundant number, since it is smaller than the sum of its proper divisors (8723212).

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

6402080 is a wasteful number, since it uses less digits than its factorization.

6402080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40028 (or 40020 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 6402080 is about 2530.2331908344. The cubic root of 6402080 is about 185.6836647175.

It can be divided in two parts, 64020 and 80, that multiplied together give a triangular number (5121600 = T3200).

The spelling of 6402080 in words is "six million, four hundred two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 40013 80026 160052 200065 320104 400130 640208 800260 1280416 1600520 3201040 6402080