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6380406 = 2321729719
BaseRepresentation
bin11000010101101101110110
3110000011021100
4120111231312
53113133111
6344430530
7105142524
oct30255566
913004240
106380406
11366876a
122178446
1314251b6
14bc1314
15860756
hex615b76

6380406 has 48 divisors (see below), whose sum is σ = 15163200. Its totient is φ = 1929984.

The previous prime is 6380401. The next prime is 6380443. The reversal of 6380406 is 6040836.

It is a self number, because there is not a number n which added to its sum of digits gives 6380406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6380401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8515 + ... + 9233.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 26380406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6380406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7581600).

6380406 is an abundant number, since it is smaller than the sum of its proper divisors (8782794).

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

6380406 is a wasteful number, since it uses less digits than its factorization.

6380406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6380406 is about 2525.9465552541. The cubic root of 6380406 is about 185.4738861291.

It can be divided in two parts, 6380 and 406, that added together give a triangular number (6786 = T116).

The spelling of 6380406 in words is "six million, three hundred eighty thousand, four hundred six".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 719 986 1438 1479 2157 2958 4314 4437 6471 8874 12223 12942 20851 24446 36669 41702 62553 73338 110007 125106 187659 220014 354467 375318 708934 1063401 2126802 3190203 6380406