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6490200 = 2335229373
BaseRepresentation
bin11000110000100001011000
3110012201212210
4120300201120
53130141300
6351035120
7106110603
oct30604130
913181783
106490200
113733202
12220baa0
131463172
14c0d33a
15883050
hex630858

6490200 has 96 divisors (see below), whose sum is σ = 20869200. Its totient is φ = 1666560.

The previous prime is 6490193. The next prime is 6490201. The reversal of 6490200 is 20946.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6490201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17214 + ... + 17586.

Almost surely, 26490200 is an apocalyptic number.

6490200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6490200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10434600).

6490200 is an abundant number, since it is smaller than the sum of its proper divisors (14379000).

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

6490200 is a wasteful number, since it uses less digits than its factorization.

6490200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 6490200 is about 2547.5870937026. The cubic root of 6490200 is about 186.5317193592.

The spelling of 6490200 in words is "six million, four hundred ninety thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 373 435 580 600 696 725 746 870 1119 1160 1450 1492 1740 1865 2175 2238 2900 2984 3480 3730 4350 4476 5595 5800 7460 8700 8952 9325 10817 11190 14920 17400 18650 21634 22380 27975 32451 37300 43268 44760 54085 55950 64902 74600 86536 108170 111900 129804 162255 216340 223800 259608 270425 324510 432680 540850 649020 811275 1081700 1298040 1622550 2163400 3245100 6490200