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241102680 = 233571322079
BaseRepresentation
bin11100101111011…
…10111101011000
3121210200021200220
432113232331120
5443210241210
635531400040
75655224160
oct1627567530
9553607626
10241102680
11114107015
12688b3020
133ac48a10
14240415a0
1516277c70
hexe5eef58

241102680 has 128 divisors (see below), whose sum is σ = 890265600. Its totient is φ = 50867712.

The previous prime is 241102669. The next prime is 241102681. The reversal of 241102680 is 86201142.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 241102680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241102681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120 + ... + 21959.

It is an arithmetic number, because the mean of its divisors is an integer number (6955200).

Almost surely, 2241102680 is an apocalyptic number.

241102680 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 241102680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445132800).

241102680 is an abundant number, since it is smaller than the sum of its proper divisors (649162920).

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

241102680 is a wasteful number, since it uses less digits than its factorization.

241102680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22113 (or 22109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 241102680 is about 15527.4814442008. The cubic root of 241102680 is about 622.3967926186.

The spelling of 241102680 in words is "two hundred forty-one million, one hundred two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 22079 44158 66237 88316 110395 132474 154553 176632 220790 264948 287027 309106 331185 441580 463659 529896 574054 618212 662370 772765 861081 883160 927318 1148108 1236424 1324740 1435135 1545530 1722162 1854636 2009189 2296216 2318295 2649480 2870270 3091060 3444324 3709272 4018378 4305405 4636590 5740540 6027567 6182120 6888648 8036756 8610810 9273180 10045945 11481080 12055134 16073512 17221620 18546360 20091890 24110268 30137835 34443240 40183780 48220536 60275670 80367560 120551340 241102680