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230480 = 2454367
BaseRepresentation
bin111000010001010000
3102201011022
4320101100
524333410
64535012
71646645
oct702120
9381138
10230480
11148188
12b1468
1380ba3
145ddcc
1548455
hex38450

230480 has 40 divisors (see below), whose sum is σ = 556512. Its totient is φ = 88704.

The previous prime is 230479. The next prime is 230501. The reversal of 230480 is 84032.

230480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3407 + ... + 3473.

2230480 is an apocalyptic number.

230480 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 230480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278256).

230480 is an abundant number, since it is smaller than the sum of its proper divisors (326032).

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

230480 is a wasteful number, since it uses less digits than its factorization.

230480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 230480 is about 480.0833261008. The cubic root of 230480 is about 61.3118492281.

The spelling of 230480 in words is "two hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 67 80 86 134 172 215 268 335 344 430 536 670 688 860 1072 1340 1720 2680 2881 3440 5360 5762 11524 14405 23048 28810 46096 57620 115240 230480