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6408990 = 233573391
BaseRepresentation
bin11000011100101100011110
3110001121111000
4120130230132
53120041430
6345211130
7105322050
oct30345436
913047430
106408990
113688195
122190aa6
131435203
14bcb8d0
15868e60
hex61cb1e

6408990 has 64 divisors (see below), whose sum is σ = 19537920. Its totient is φ = 1464480.

The previous prime is 6408977. The next prime is 6408991. The reversal of 6408990 is 998046.

6408990 is a `hidden beast` number, since 640 + 8 + 9 + 9 + 0 = 666.

6408990 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6408991) 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, 195 + ... + 3585.

It is an arithmetic number, because the mean of its divisors is an integer number (305280).

Almost surely, 26408990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6408990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9768960).

6408990 is an abundant number, since it is smaller than the sum of its proper divisors (13128930).

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

6408990 is a wasteful number, since it uses less digits than its factorization.

6408990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6408990 is about 2531.5983093690. The cubic root of 6408990 is about 185.7504457625.

The spelling of 6408990 in words is "six million, four hundred eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 3391 6782 10173 16955 20346 23737 30519 33910 47474 50865 61038 71211 91557 101730 118685 142422 152595 183114 213633 237370 305190 356055 427266 457785 640899 712110 915570 1068165 1281798 2136330 3204495 6408990