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243135140 = 22537794159
BaseRepresentation
bin11100111110111…
…11001010100100
3121221111112201012
432133133022210
5444220311030
640043121352
76011420543
oct1637371244
9557445635
10243135140
11115275036
1269513258
133b4aab61
142441015a
151652a095
hexe7df2a4

243135140 has 48 divisors (see below), whose sum is σ = 531148800. Its totient is φ = 93405312.

The previous prime is 243135127. The next prime is 243135143. The reversal of 243135140 is 41531342.

It is a super-2 number, since 2×2431351402 = 118229392605639200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (243135143) by changing a digit.

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, 56381 + ... + 60539.

It is an arithmetic number, because the mean of its divisors is an integer number (11065600).

Almost surely, 2243135140 is an apocalyptic number.

243135140 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 243135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265574400).

243135140 is an abundant number, since it is smaller than the sum of its proper divisors (288013660).

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

243135140 is a wasteful number, since it uses less digits than its factorization.

243135140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 243135140 is about 15592.7912831539. The cubic root of 243135140 is about 624.1408055304.

Adding to 243135140 its reverse (41531342), we get a palindrome (284666482).

The spelling of 243135140 in words is "two hundred forty-three million, one hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 79 148 158 185 316 370 395 740 790 1580 2923 4159 5846 8318 11692 14615 16636 20795 29230 41590 58460 83180 153883 307766 328561 615532 657122 769415 1314244 1538830 1642805 3077660 3285610 6571220 12156757 24313514 48627028 60783785 121567570 243135140