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230040 = 2334571
BaseRepresentation
bin111000001010011000
3102200120000
4320022120
524330130
64533000
71645446
oct701230
9380500
10230040
11147918
12b1160
1380925
145db96
1548260
hex38298

230040 has 80 divisors (see below), whose sum is σ = 784080. Its totient is φ = 60480.

The previous prime is 230017. The next prime is 230047. The reversal of 230040 is 40032.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230047) by changing a digit.

230040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3205 + ... + 3275.

It is an arithmetic number, because the mean of its divisors is an integer number (9801).

2230040 is an apocalyptic number.

230040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392040).

230040 is an abundant number, since it is smaller than the sum of its proper divisors (554040).

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

230040 is a wasteful number, since it uses less digits than its factorization.

230040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 230040 is about 479.6248534011. The cubic root of 230040 is about 61.2728083874.

Adding to 230040 its reverse (40032), we get a palindrome (270072).

The spelling of 230040 in words is "two hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 71 72 81 90 108 120 135 142 162 180 213 216 270 284 324 355 360 405 426 540 568 639 648 710 810 852 1065 1080 1278 1420 1620 1704 1917 2130 2556 2840 3195 3240 3834 4260 5112 5751 6390 7668 8520 9585 11502 12780 15336 19170 23004 25560 28755 38340 46008 57510 76680 115020 230040