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241116820 = 225723103727
BaseRepresentation
bin11100101111100…
…10011010010100
3121210201000002121
432113302122110
5443211214240
635531545324
75655313330
oct1627623224
9553630077
10241116820
111141166aa
12688bb244
133ac52299
14240467c0
151627c04a
hexe5f2694

241116820 has 96 divisors (see below), whose sum is σ = 610541568. Its totient is φ = 78198912.

The previous prime is 241116809. The next prime is 241116833. The reversal of 241116820 is 28611142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331297 + ... + 332023.

It is an arithmetic number, because the mean of its divisors is an integer number (6359808).

Almost surely, 2241116820 is an apocalyptic number.

241116820 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 241116820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305270784).

241116820 is an abundant number, since it is smaller than the sum of its proper divisors (369424748).

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

241116820 is a wasteful number, since it uses less digits than its factorization.

241116820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 241116820 is about 15527.9367592736. The cubic root of 241116820 is about 622.4089596596.

Adding to 241116820 its reverse (28611142), we get a palindrome (269727962).

The spelling of 241116820 in words is "two hundred forty-one million, one hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 103 115 140 161 206 230 322 412 460 515 644 721 727 805 1030 1442 1454 1610 2060 2369 2884 2908 3220 3605 3635 4738 5089 7210 7270 9476 10178 11845 14420 14540 16583 16721 20356 23690 25445 33166 33442 47380 50890 66332 66884 74881 82915 83605 101780 117047 149762 165830 167210 234094 299524 331660 334420 374405 468188 524167 585235 748810 1048334 1170470 1497620 1722263 2096668 2340940 2620835 3444526 5241670 6889052 8611315 10483340 12055841 17222630 24111682 34445260 48223364 60279205 120558410 241116820