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490590 = 23352379
BaseRepresentation
bin1110111110001011110
3220220222000
41313301132
5111144330
614303130
74112202
oct1676136
9826860
10490590
11305651
121b7aa6
131423b9
14cab02
159a560
hex77c5e

490590 has 64 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 123552.

The previous prime is 490579. The next prime is 490591. The reversal of 490590 is 95094.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490591) by changing a digit.

490590 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6171 + ... + 6249.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2490590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

490590 is an abundant number, since it is smaller than the sum of its proper divisors (891810).

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

490590 is a wasteful number, since it uses less digits than its factorization.

490590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 490590 is about 700.4213017891. The cubic root of 490590 is about 78.8689811420.

The spelling of 490590 in words is "four hundred ninety thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 79 90 115 135 138 158 207 230 237 270 345 395 414 474 621 690 711 790 1035 1185 1242 1422 1817 2070 2133 2370 3105 3555 3634 4266 5451 6210 7110 9085 10665 10902 16353 18170 21330 27255 32706 49059 54510 81765 98118 163530 245295 490590