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241056960 = 2635293857
BaseRepresentation
bin11100101111000…
…11110011000000
3121210120221222120
432113203303000
5443202310320
635530404240
75654643654
oct1627436300
9553527876
10241056960
11114085731
1268890680
133ac30c71
142402ca64
1516269440
hexe5e3cc0

241056960 has 112 divisors (see below), whose sum is σ = 768864096. Its totient is φ = 63987712.

The previous prime is 241056943. The next prime is 241057021. The reversal of 241056960 is 69650142.

241056960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280852 + ... + 281708.

It is an arithmetic number, because the mean of its divisors is an integer number (6864858).

Almost surely, 2241056960 is an apocalyptic number.

241056960 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 241056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384432048).

241056960 is an abundant number, since it is smaller than the sum of its proper divisors (527807136).

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

241056960 is a wasteful number, since it uses less digits than its factorization.

241056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 241056960 is about 15526.0091459460. The cubic root of 241056960 is about 622.3574486895.

The spelling of 241056960 in words is "two hundred forty-one million, fifty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 293 320 480 586 857 879 960 1172 1465 1714 1758 2344 2571 2930 3428 3516 4285 4395 4688 5142 5860 6856 7032 8570 8790 9376 10284 11720 12855 13712 14064 17140 17580 18752 20568 23440 25710 27424 28128 34280 35160 41136 46880 51420 54848 56256 68560 70320 82272 93760 102840 137120 140640 164544 205680 251101 274240 281280 411360 502202 753303 822720 1004404 1255505 1506606 2008808 2511010 3013212 3766515 4017616 5022020 6026424 7533030 8035232 10044040 12052848 15066060 16070464 20088080 24105696 30132120 40176160 48211392 60264240 80352320 120528480 241056960