Base | Representation |
---|---|
bin | 1110011010110… |
… | …11010100000000 |
3 | 22102121102021111 |
4 | 13031123110000 |
5 | 221431212011 |
6 | 20000333104 |
7 | 2666100544 |
oct | 715332400 |
9 | 272542244 |
10 | 120960256 |
11 | 6230825a |
12 | 34614194 |
13 | 1c0a2021 |
14 | 120c9a24 |
15 | a945121 |
hex | 735b500 |
120960256 has 36 divisors (see below), whose sum is σ = 244206900. Its totient is φ = 59789312.
The previous prime is 120960239. The next prime is 120960269. The reversal of 120960256 is 652069021.
It can be written as a sum of positive squares in 2 ways, for example, as 7750656 + 113209600 = 2784^2 + 10640^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20130 + ... + 25438.
It is an arithmetic number, because the mean of its divisors is an integer number (6783525).
Almost surely, 2120960256 is an apocalyptic number.
120960256 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 120960256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122103450).
120960256 is an abundant number, since it is smaller than the sum of its proper divisors (123246644).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120960256 is an frugal number, since it uses more digits than its factorization.
120960256 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5414 (or 5400 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 31.
The square root of 120960256 is about 10998.1933061753. The cubic root of 120960256 is about 494.5545848687.
The spelling of 120960256 in words is "one hundred twenty million, nine hundred sixty thousand, two hundred fifty-six".
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