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243140000 = 255412157
BaseRepresentation
bin11100111111000…
…00010110100000
3121221111210101012
432133200112200
5444220440000
640043200052
76011440655
oct1637402640
9557453335
10243140000
11115278754
1269516028
133b4b012c
1424411c2c
151652b735
hexe7e05a0

243140000 has 60 divisors (see below), whose sum is σ = 598210074. Its totient is φ = 97248000.

The previous prime is 243139999. The next prime is 243140011. The reversal of 243140000 is 41342.

Adding to 243140000 its reverse (41342), we get a palindrome (243181342).

It can be written as a sum of positive squares in 5 ways, for example, as 7333264 + 235806736 = 2708^2 + 15356^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13922 + ... + 26078.

Almost surely, 2243140000 is an apocalyptic number.

243140000 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 243140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299105037).

243140000 is an abundant number, since it is smaller than the sum of its proper divisors (355070074).

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

243140000 is an equidigital number, since it uses as much as digits as its factorization.

243140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12187 (or 12164 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 243140000 is about 15592.9471236197. The cubic root of 243140000 is about 624.1449641286.

The spelling of 243140000 in words is "two hundred forty-three million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 12157 20000 24314 48628 60785 97256 121570 194512 243140 303925 389024 486280 607850 972560 1215700 1519625 1945120 2431400 3039250 4862800 6078500 7598125 9725600 12157000 15196250 24314000 30392500 48628000 60785000 121570000 243140000