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830500 = 225311151
BaseRepresentation
bin11001010110000100100
31120012020021
43022300210
5203034000
625444524
710026166
oct3126044
91505207
10830500
11517a70
12340744
13231028
14178936
1511611a
hexcac24

830500 has 48 divisors (see below), whose sum is σ = 1991808. Its totient is φ = 300000.

The previous prime is 830497. The next prime is 830503. The reversal of 830500 is 5038.

It is an interprime number because it is at equal distance from previous prime (830497) and next prime (830503).

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (830503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5425 + ... + 5575.

It is an arithmetic number, because the mean of its divisors is an integer number (41496).

2830500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995904).

830500 is an abundant number, since it is smaller than the sum of its proper divisors (1161308).

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

830500 is a wasteful number, since it uses less digits than its factorization.

830500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 830500 is about 911.3177272499. The cubic root of 830500 is about 93.9968310385.

Adding to 830500 its reverse (5038), we get a palindrome (835538).

The spelling of 830500 in words is "eight hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 151 220 250 275 302 500 550 604 755 1100 1375 1510 1661 2750 3020 3322 3775 5500 6644 7550 8305 15100 16610 18875 33220 37750 41525 75500 83050 166100 207625 415250 830500