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830250 = 2345341
BaseRepresentation
bin11001010101100101010
31120011220000
43022230222
5203032000
625443430
710025361
oct3125452
91504800
10830250
11517863
12340576
13230b95
141787d8
15116000
hexcab2a

830250 has 80 divisors (see below), whose sum is σ = 2378376. Its totient is φ = 216000.

The previous prime is 830237. The next prime is 830257. The reversal of 830250 is 52038.

830250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 68121 + 762129 = 261^2 + 873^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830257) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20230 + ... + 20270.

2830250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189188).

830250 is an abundant number, since it is smaller than the sum of its proper divisors (1548126).

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

830250 is a wasteful number, since it uses less digits than its factorization.

830250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 830250 is about 911.1805529092. The cubic root of 830250 is about 93.9873983409.

Adding to 830250 its reverse (52038), we get a palindrome (882288).

The spelling of 830250 in words is "eight hundred thirty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 41 45 50 54 75 81 82 90 123 125 135 150 162 205 225 246 250 270 369 375 405 410 450 615 675 738 750 810 1025 1107 1125 1230 1350 1845 2025 2050 2214 2250 3075 3321 3375 3690 4050 5125 5535 6150 6642 6750 9225 10125 10250 11070 15375 16605 18450 20250 27675 30750 33210 46125 55350 83025 92250 138375 166050 276750 415125 830250