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832140 = 223352367
BaseRepresentation
bin11001011001010001100
31120021111000
43023022030
5203112030
625500300
710034031
oct3131214
91507430
10832140
11519221
12341690
132319ba
14179388
15116860
hexcb28c

832140 has 96 divisors (see below), whose sum is σ = 2741760. Its totient is φ = 209088.

The previous prime is 832129. The next prime is 832141. The reversal of 832140 is 41238.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (832141) by changing a digit.

832140 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, 12387 + ... + 12453.

It is an arithmetic number, because the mean of its divisors is an integer number (28560).

2832140 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 832140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370880).

832140 is an abundant number, since it is smaller than the sum of its proper divisors (1909620).

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

832140 is a wasteful number, since it uses less digits than its factorization.

832140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 832140 is about 912.2170794279. The cubic root of 832140 is about 94.0586626433.

Adding to 832140 its reverse (41238), we get a palindrome (873378).

The spelling of 832140 in words is "eight hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 67 69 90 92 108 115 134 135 138 180 201 207 230 268 270 276 335 345 402 414 460 540 603 621 670 690 804 828 1005 1035 1206 1242 1340 1380 1541 1809 2010 2070 2412 2484 3015 3082 3105 3618 4020 4140 4623 6030 6164 6210 7236 7705 9045 9246 12060 12420 13869 15410 18090 18492 23115 27738 30820 36180 41607 46230 55476 69345 83214 92460 138690 166428 208035 277380 416070 832140