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241284060 = 2232517292719
BaseRepresentation
bin11100110000110…
…11001111011100
3121211000111111200
432120123033130
5443232042220
635535315500
75656611033
oct1630331734
9554014450
10241284060
11114220316
126897bb90
133acb0444
142408b71a
15162b1890
hexe61b3dc

241284060 has 144 divisors (see below), whose sum is σ = 801964800. Its totient is φ = 58447872.

The previous prime is 241284019. The next prime is 241284061. The reversal of 241284060 is 60482142.

It is a super-2 number, since 2×2412840602 = 116435995220167200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241284061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87381 + ... + 90099.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2241284060 is an apocalyptic number.

241284060 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 241284060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

241284060 is an abundant number, since it is smaller than the sum of its proper divisors (560680740).

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

241284060 is a wasteful number, since it uses less digits than its factorization.

241284060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 241284060 is about 15533.3209585072. The cubic root of 241284060 is about 622.5528285354.

The spelling of 241284060 in words is "two hundred forty-one million, two hundred eighty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 29 30 34 36 45 51 58 60 68 85 87 90 102 116 145 153 170 174 180 204 255 261 290 306 340 348 435 493 510 522 580 612 765 870 986 1020 1044 1305 1479 1530 1740 1972 2465 2610 2719 2958 3060 4437 4930 5220 5438 5916 7395 8157 8874 9860 10876 13595 14790 16314 17748 22185 24471 27190 29580 32628 40785 44370 46223 48942 54380 78851 81570 88740 92446 97884 122355 138669 157702 163140 184892 231115 236553 244710 277338 315404 394255 416007 462230 473106 489420 554676 693345 709659 788510 832014 924460 946212 1182765 1340467 1386690 1419318 1577020 1664028 2080035 2365530 2680934 2773380 2838636 3548295 4021401 4160070 4731060 5361868 6702335 7096590 8042802 8320140 12064203 13404670 14193180 16085604 20107005 24128406 26809340 40214010 48256812 60321015 80428020 120642030 241284060