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243142540 = 22537595569
BaseRepresentation
bin11100111111000…
…00111110001100
3121221111220212021
432133200332030
5444221030130
640043215524
76011451244
oct1637407614
9557456767
10243142540
1111527a653
12695175a4
133b4b1334
1424412b24
151652c37a
hexe7e0f8c

243142540 has 48 divisors (see below), whose sum is σ = 533383200. Its totient is φ = 93007872.

The previous prime is 243142507. The next prime is 243142547. The reversal of 243142540 is 45241342.

It is a happy number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (243142547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40876 + ... + 46444.

It is an arithmetic number, because the mean of its divisors is an integer number (11112150).

Almost surely, 2243142540 is an apocalyptic number.

243142540 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 243142540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266691600).

243142540 is an abundant number, since it is smaller than the sum of its proper divisors (290240660).

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

243142540 is a wasteful number, since it uses less digits than its factorization.

243142540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5674 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 243142540 is about 15593.0285704862. The cubic root of 243142540 is about 624.1471375303.

Adding to 243142540 its reverse (45241342), we get a palindrome (288383882).

The spelling of 243142540 in words is "two hundred forty-three million, one hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 59 74 118 148 185 236 295 370 590 740 1180 2183 4366 5569 8732 10915 11138 21830 22276 27845 43660 55690 111380 206053 328571 412106 657142 824212 1030265 1314284 1642855 2060530 3285710 4121060 6571420 12157127 24314254 48628508 60785635 121571270 243142540