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241310420 = 225134122637
BaseRepresentation
bin11100110001000…
…01101011010100
3121211001211122222
432120201223110
5443233413140
635540041512
75660050631
oct1630415324
9554054588
10241310420
111142390aa
1268993298
133acbc440
1424097188
15162b95b5
hexe621ad4

241310420 has 48 divisors (see below), whose sum is σ = 559068048. Its totient is φ = 86922240.

The previous prime is 241310389. The next prime is 241310423. The reversal of 241310420 is 24013142.

It can be written as a sum of positive squares in 8 ways, for example, as 93006736 + 148303684 = 9644^2 + 12178^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241310423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 659 + ... + 21978.

It is an arithmetic number, because the mean of its divisors is an integer number (11647251).

Almost surely, 2241310420 is an apocalyptic number.

241310420 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 241310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279534024).

241310420 is an abundant number, since it is smaller than the sum of its proper divisors (317757628).

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

241310420 is a wasteful number, since it uses less digits than its factorization.

241310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22700 (or 22698 counting only the distinct ones).

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

The square root of 241310420 is about 15534.1694338642. The cubic root of 241310420 is about 622.5754987648.

Adding to 241310420 its reverse (24013142), we get a palindrome (265323562).

The spelling of 241310420 in words is "two hundred forty-one million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 22637 45274 90548 113185 226370 294281 452740 588562 928117 1177124 1471405 1856234 2942810 3712468 4640585 5885620 9281170 12065521 18562340 24131042 48262084 60327605 120655210 241310420