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241661720 = 235431091289
BaseRepresentation
bin11100110011101…
…11011100011000
3121211201200120002
432121313130120
5443331133340
635551352132
75663043056
oct1631673430
9554650502
10241661720
11114459033
1268b22648
133b0b3301
14241491d6
1516338715
hexe677718

241661720 has 64 divisors (see below), whose sum is σ = 561924000. Its totient is φ = 93477888.

The previous prime is 241661701. The next prime is 241661723. The reversal of 241661720 is 27166142.

241661720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241661723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186836 + ... + 188124.

Almost surely, 2241661720 is an apocalyptic number.

241661720 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 241661720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280962000).

241661720 is an abundant number, since it is smaller than the sum of its proper divisors (320262280).

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

241661720 is a wasteful number, since it uses less digits than its factorization.

241661720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 241661720 is about 15545.4726528337. The cubic root of 241661720 is about 622.8774676635.

The spelling of 241661720 in words is "two hundred forty-one million, six hundred sixty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 109 172 215 218 344 430 436 545 860 872 1090 1289 1720 2180 2578 4360 4687 5156 6445 9374 10312 12890 18748 23435 25780 37496 46870 51560 55427 93740 110854 140501 187480 221708 277135 281002 443416 554270 562004 702505 1108540 1124008 1405010 2217080 2810020 5620040 6041543 12083086 24166172 30207715 48332344 60415430 120830860 241661720