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6423040 = 29513193
BaseRepresentation
bin11000100000001000000000
3110002022202101
4120200020000
53121014130
6345400144
7105411031
oct30401000
913068671
106423040
1136977a8
122199054
13143b720
14bd2a88
1586d1ca
hex620200

6423040 has 80 divisors (see below), whose sum is σ = 16670808. Its totient is φ = 2359296.

The previous prime is 6423029. The next prime is 6423047. The reversal of 6423040 is 403246.

It can be written as a sum of positive squares in 4 ways, for example, as 3154176 + 3268864 = 1776^2 + 1808^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 6422999 and 6423017.

It is not an unprimeable number, because it can be changed into a prime (6423047) 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, 33184 + ... + 33376.

Almost surely, 26423040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335404).

6423040 is an abundant number, since it is smaller than the sum of its proper divisors (10247768).

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

6423040 is a wasteful number, since it uses less digits than its factorization.

6423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 6423040 is about 2534.3717170139. The cubic root of 6423040 is about 185.8860827864.

Adding to 6423040 its reverse (403246), we get a palindrome (6826286).

It can be divided in two parts, 64 and 23040, that added together give a square (23104 = 1522).

The spelling of 6423040 in words is "six million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 193 208 256 260 320 386 416 512 520 640 772 832 965 1040 1280 1544 1664 1930 2080 2509 2560 3088 3328 3860 4160 5018 6176 6656 7720 8320 10036 12352 12545 15440 16640 20072 24704 25090 30880 33280 40144 49408 50180 61760 80288 98816 100360 123520 160576 200720 247040 321152 401440 494080 642304 802880 1284608 1605760 3211520 6423040