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806490 = 233529103
BaseRepresentation
bin11000100111001011010
31111222022000
43010321122
5201301430
625141430
76566166
oct3047132
91458260
10806490
11500a23
1232a876
13223119
1416dca6
1510de60
hexc4e5a

806490 has 64 divisors (see below), whose sum is σ = 2246400. Its totient is φ = 205632.

The previous prime is 806483. The next prime is 806503. The reversal of 806490 is 94608.

806490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8064902 = 1300852240200, which contains 22 as substring.

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

It is an unprimeable number.

806490 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7779 + ... + 7881.

It is an arithmetic number, because the mean of its divisors is an integer number (35100).

2806490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123200).

806490 is an abundant number, since it is smaller than the sum of its proper divisors (1439910).

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

806490 is a wasteful number, since it uses less digits than its factorization.

806490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 806490 is about 898.0478829105. The cubic root of 806490 is about 93.0821334774.

It can be divided in two parts, 806 and 490, that added together give a 4-th power (1296 = 64).

The spelling of 806490 in words is "eight hundred six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 103 135 145 174 206 261 270 290 309 435 515 522 618 783 870 927 1030 1305 1545 1566 1854 2610 2781 2987 3090 3915 4635 5562 5974 7830 8961 9270 13905 14935 17922 26883 27810 29870 44805 53766 80649 89610 134415 161298 268830 403245 806490