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830490 = 235193147
BaseRepresentation
bin11001010110000011010
31120012012220
43022300122
5203033430
625444510
710026153
oct3126032
91505186
10830490
11517a61
12340736
1323101b
1417892a
15116110
hexcac1a

830490 has 64 divisors (see below), whose sum is σ = 2211840. Its totient is φ = 198720.

The previous prime is 830483. The next prime is 830497. The reversal of 830490 is 94038.

830490 = T164 + T165 + ... + T210.

It is an interprime number because it is at equal distance from previous prime (830483) and next prime (830497).

It is a self number, because there is not a number n which added to its sum of digits gives 830490.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 830490.

It is not an unprimeable number, because it can be changed into a prime (830497) 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, 17647 + ... + 17693.

It is an arithmetic number, because the mean of its divisors is an integer number (34560).

2830490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105920).

830490 is an abundant number, since it is smaller than the sum of its proper divisors (1381350).

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

830490 is a wasteful number, since it uses less digits than its factorization.

830490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 830490 is about 911.3122406728. The cubic root of 830490 is about 93.9964537669.

The spelling of 830490 in words is "eight hundred thirty thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 47 57 62 93 94 95 114 141 155 186 190 235 282 285 310 465 470 570 589 705 893 930 1178 1410 1457 1767 1786 2679 2914 2945 3534 4371 4465 5358 5890 7285 8742 8835 8930 13395 14570 17670 21855 26790 27683 43710 55366 83049 138415 166098 276830 415245 830490