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6406020 = 2233511863
BaseRepresentation
bin11000011011111110000100
3110001110102000
4120123332010
53114443040
6345145300
7105310305
oct30337604
913043360
106406020
113685a35
12218b230
131433a5a
14bca7ac
15868130
hex61bf84

6406020 has 48 divisors (see below), whose sum is σ = 19931520. Its totient is φ = 1708128.

The previous prime is 6405989. The next prime is 6406051. The reversal of 6406020 is 206046.

Added to its reverse (206046) it gives a triangular number (6612066 = T3636).

6406020 is a `hidden beast` number, since 64 + 0 + 602 + 0 = 666.

6406020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6405989) and next prime (6406051).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6405984 and 6406002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5392 + ... + 6471.

It is an arithmetic number, because the mean of its divisors is an integer number (415240).

Almost surely, 26406020 is an apocalyptic number.

6406020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6406020 is an abundant number, since it is smaller than the sum of its proper divisors (13525500).

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

6406020 is a wasteful number, since it uses less digits than its factorization.

6406020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11881 (or 11873 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6406020 is about 2531.0116554453. The cubic root of 6406020 is about 185.7217483617.

Adding to 6406020 its reverse (206046), we get a triangular number (6612066 = T3636).

The spelling of 6406020 in words is "six million, four hundred six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 11863 23726 35589 47452 59315 71178 106767 118630 142356 177945 213534 237260 320301 355890 427068 533835 640602 711780 1067670 1281204 1601505 2135340 3203010 6406020