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1241360256 = 27328311423
BaseRepresentation
bin100100111111101…
…1010011110000000
310012111211122010210
41021333122132000
510020242012011
6323102354120
742522250053
oct11177323600
93174748123
101241360256
11587796374
122a788b940
1316a2461c6
14bac18a9a
1573eaa6a6
hex49fda780

1241360256 has 64 divisors (see below), whose sum is σ = 3309304320. Its totient is φ = 412288512.

The previous prime is 1241360243. The next prime is 1241360291. The reversal of 1241360256 is 6520631421.

1241360256 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102961 + ... + 114383.

It is an arithmetic number, because the mean of its divisors is an integer number (51707880).

Almost surely, 21241360256 is an apocalyptic number.

1241360256 is a gapful number since it is divisible by the number (16) 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 1241360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654652160).

1241360256 is an abundant number, since it is smaller than the sum of its proper divisors (2067944064).

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

1241360256 is a wasteful number, since it uses less digits than its factorization.

1241360256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11723 (or 11711 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1241360256 is about 35232.9427666779. The cubic root of 1241360256 is about 1074.7297697541.

Adding to 1241360256 its reverse (6520631421), we get a palindrome (7761991677).

The spelling of 1241360256 in words is "one billion, two hundred forty-one million, three hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 283 384 566 849 1132 1698 2264 3396 4528 6792 9056 11423 13584 18112 22846 27168 34269 36224 45692 54336 68538 91384 108672 137076 182768 274152 365536 548304 731072 1096608 1462144 2193216 3232709 4386432 6465418 9698127 12930836 19396254 25861672 38792508 51723344 77585016 103446688 155170032 206893376 310340064 413786752 620680128 1241360256