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241618420 = 22517097069
BaseRepresentation
bin11100110011011…
…00110111110100
3121211122111011101
432121230313310
5443323242140
635550415444
75662502611
oct1631546764
9554574141
10241618420
1111442954a
1268b01584
133b0996a4
1424137508
151632a99a
hexe66cdf4

241618420 has 24 divisors (see below), whose sum is σ = 507767400. Its totient is φ = 96577152.

The previous prime is 241618417. The next prime is 241618463. The reversal of 241618420 is 24816142.

It can be written as a sum of positive squares in 4 ways, for example, as 1430416 + 240188004 = 1196^2 + 15498^2 .

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 7 ways as a sum of consecutive naturals, for example, 30646 + ... + 37714.

It is an arithmetic number, because the mean of its divisors is an integer number (21156975).

Almost surely, 2241618420 is an apocalyptic number.

241618420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241618420 is an abundant number, since it is smaller than the sum of its proper divisors (266148980).

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

241618420 is a wasteful number, since it uses less digits than its factorization.

241618420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8787 (or 8785 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 241618420 is about 15544.0799020077. The cubic root of 241618420 is about 622.8402638602.

The spelling of 241618420 in words is "two hundred forty-one million, six hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1709 3418 6836 7069 8545 14138 17090 28276 34180 35345 70690 141380 12080921 24161842 48323684 60404605 120809210 241618420