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6490368 = 2834313
BaseRepresentation
bin11000110000100100000000
3110012202010000
4120300210000
53130142433
6351040000
7106111233
oct30604400
913182100
106490368
113733345
122210000
131463271
14c0d41a
15883113
hex630900

6490368 has 90 divisors (see below), whose sum is σ = 19414934. Its totient is φ = 2156544.

The previous prime is 6490333. The next prime is 6490369. The reversal of 6490368 is 8630946.

6490368 is a `hidden beast` number, since 649 + 0 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3504384 + 2985984 = 1872^2 + 1728^2 .

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6490369) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20580 + ... + 20892.

Almost surely, 26490368 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 6490368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9707467).

6490368 is an abundant number, since it is smaller than the sum of its proper divisors (12924566).

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

6490368 is an equidigital number, since it uses as much as digits as its factorization.

6490368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 318 counting only the distinct ones).

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

The square root of 6490368 is about 2547.6200658654. The cubic root of 6490368 is about 186.5333288144.

The spelling of 6490368 in words is "six million, four hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 313 324 384 432 576 626 648 768 864 939 1152 1252 1296 1728 1878 2304 2504 2592 2817 3456 3756 5008 5184 5634 6912 7512 8451 10016 10368 11268 15024 16902 20032 20736 22536 25353 30048 33804 40064 45072 50706 60096 67608 80128 90144 101412 120192 135216 180288 202824 240384 270432 360576 405648 540864 721152 811296 1081728 1622592 2163456 3245184 6490368