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241289880 = 2335131371129
BaseRepresentation
bin11100110000111…
…00101010011000
3121211000210111020
432120130222120
5443232234010
635535402440
75656634016
oct1630345230
9554023436
10241289880
11114224727
1268983420
133acb2ca0
142408d8b6
15162b3470
hexe61ca98

241289880 has 128 divisors (see below), whose sum is σ = 785937600. Its totient is φ = 58908672.

The previous prime is 241289863. The next prime is 241289903. The reversal of 241289880 is 88982142.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 213156 + ... + 214284.

Almost surely, 2241289880 is an apocalyptic number.

241289880 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 241289880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392968800).

241289880 is an abundant number, since it is smaller than the sum of its proper divisors (544647720).

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

241289880 is a wasteful number, since it uses less digits than its factorization.

241289880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 241289880 is about 15533.5082965826. The cubic root of 241289880 is about 622.5578340164.

The spelling of 241289880 in words is "two hundred forty-one million, two hundred eighty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 137 156 195 260 274 312 390 411 520 548 685 780 822 1096 1129 1370 1560 1644 1781 2055 2258 2740 3288 3387 3562 4110 4516 5343 5480 5645 6774 7124 8220 8905 9032 10686 11290 13548 14248 14677 16440 16935 17810 21372 22580 26715 27096 29354 33870 35620 42744 44031 45160 53430 58708 67740 71240 73385 88062 106860 117416 135480 146770 154673 176124 213720 220155 293540 309346 352248 440310 464019 587080 618692 773365 880620 928038 1237384 1546730 1761240 1856076 2010749 2320095 3093460 3712152 4021498 4640190 6032247 6186920 8042996 9280380 10053745 12064494 16085992 18560760 20107490 24128988 30161235 40214980 48257976 60322470 80429960 120644940 241289880