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6390468 = 2233779107
BaseRepresentation
bin11000011000001011000100
3110000200002000
4120120023010
53113443333
6344545300
7105214050
oct30301304
913020060
106390468
113675287
122182230
131429956
14bc4c60
15863713
hex6182c4

6390468 has 96 divisors (see below), whose sum is σ = 19353600. Its totient is φ = 1785888.

The previous prime is 6390463. The next prime is 6390499. The reversal of 6390468 is 8640936.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 64 + 313 + 97 + 0 + 46 + 65 + 8 .

It is not an unprimeable number, because it can be changed into a prime (6390463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59671 + ... + 59777.

It is an arithmetic number, because the mean of its divisors is an integer number (201600).

Almost surely, 26390468 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 6390468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676800).

6390468 is an abundant number, since it is smaller than the sum of its proper divisors (12963132).

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

6390468 is a wasteful number, since it uses less digits than its factorization.

6390468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6390468 is about 2527.9374992274. The cubic root of 6390468 is about 185.5713333277.

The spelling of 6390468 in words is "six million, three hundred ninety thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 79 84 107 108 126 158 189 214 237 252 316 321 378 428 474 553 642 711 749 756 948 963 1106 1284 1422 1498 1659 1926 2133 2212 2247 2844 2889 2996 3318 3852 4266 4494 4977 5778 6636 6741 8453 8532 8988 9954 11556 13482 14931 16906 19908 20223 25359 26964 29862 33812 40446 50718 59171 59724 76077 80892 101436 118342 152154 177513 228231 236684 304308 355026 456462 532539 710052 912924 1065078 1597617 2130156 3195234 6390468