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6390288 = 2432199223
BaseRepresentation
bin11000011000001000010000
3110000122211100
4120120020100
53113442123
6344544400
7105213402
oct30301020
913018740
106390288
113675133
122182100
131429848
14bc4b72
15863643
hex618210

6390288 has 60 divisors (see below), whose sum is σ = 18054400. Its totient is φ = 2109888.

The previous prime is 6390281. The next prime is 6390313. The reversal of 6390288 is 8820936.

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

It is not an unprimeable number, because it can be changed into a prime (6390281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28545 + ... + 28767.

Almost surely, 26390288 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 6390288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9027200).

6390288 is an abundant number, since it is smaller than the sum of its proper divisors (11664112).

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

6390288 is a wasteful number, since it uses less digits than its factorization.

6390288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6390288 is about 2527.9018968307. The cubic root of 6390288 is about 185.5695909851.

Adding to 6390288 its product of nonzero digits (20736), we get a square (6411024 = 25322).

The spelling of 6390288 in words is "six million, three hundred ninety thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 223 398 446 597 669 796 892 1194 1338 1592 1784 1791 2007 2388 2676 3184 3568 3582 4014 4776 5352 7164 8028 9552 10704 14328 16056 28656 32112 44377 88754 133131 177508 266262 355016 399393 532524 710032 798786 1065048 1597572 2130096 3195144 6390288