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230132540 = 2251110110357
BaseRepresentation
bin11011011011110…
…00101100111100
3121001000221111102
431231320230330
5432403220130
634500312232
75463044231
oct1555705474
9531027442
10230132540
111089a3a90
12650a2678
13388a7701
14227c7788
151530c645
hexdb78b3c

230132540 has 48 divisors (see below), whose sum is σ = 532484064. Its totient is φ = 82848000.

The previous prime is 230132531. The next prime is 230132569. The reversal of 230132540 is 45231032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17042 + ... + 27398.

It is an arithmetic number, because the mean of its divisors is an integer number (11093418).

Almost surely, 2230132540 is an apocalyptic number.

230132540 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 230132540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266242032).

230132540 is an abundant number, since it is smaller than the sum of its proper divisors (302351524).

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

230132540 is a wasteful number, since it uses less digits than its factorization.

230132540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10478 (or 10476 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 230132540 is about 15170.1199731578. The cubic root of 230132540 is about 612.8102351739.

Adding to 230132540 its reverse (45231032), we get a palindrome (275363572).

The spelling of 230132540 in words is "two hundred thirty million, one hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 10357 11110 20714 22220 41428 51785 103570 113927 207140 227854 455708 569635 1046057 1139270 2092114 2278540 4184228 5230285 10460570 11506627 20921140 23013254 46026508 57533135 115066270 230132540