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241813780 = 225131754709
BaseRepresentation
bin11100110100111…
…00100100010100
3121212000102010221
432122130210110
5443401020110
635554524124
75664245305
oct1632344424
9555012127
10241813780
111145522aa
1268b96644
133b1375a0
14241887ac
15163687da
hexe69c914

241813780 has 48 divisors (see below), whose sum is σ = 579050640. Its totient is φ = 84031488.

The previous prime is 241813771. The next prime is 241813783. The reversal of 241813780 is 87318142.

It is a happy number.

241813780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7907344 + 233906436 = 2812^2 + 15294^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241813783) 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, 22935 + ... + 31774.

It is an arithmetic number, because the mean of its divisors is an integer number (12063555).

Almost surely, 2241813780 is an apocalyptic number.

241813780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241813780 is an abundant number, since it is smaller than the sum of its proper divisors (337236860).

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

241813780 is a wasteful number, since it uses less digits than its factorization.

241813780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54748 (or 54746 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 241813780 is about 15550.3626967348. The cubic root of 241813780 is about 623.0080839771.

The spelling of 241813780 in words is "two hundred forty-one million, eight hundred thirteen thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 54709 109418 218836 273545 547090 711217 930053 1094180 1422434 1860106 2844868 3556085 3720212 4650265 7112170 9300530 12090689 14224340 18601060 24181378 48362756 60453445 120906890 241813780