Base | Representation |
---|---|
bin | 110111111001100111… |
… | …1011101011000000000 |
3 | 102110212010220112002212 |
4 | 1233303033131120000 |
5 | 3431323012023320 |
6 | 131051541401252 |
7 | 11446553641556 |
oct | 1576317353000 |
9 | 373763815085 |
10 | 120045032960 |
11 | 46a02323046 |
12 | 1b322a09228 |
13 | b4216239a8 |
14 | 5b4b309bd6 |
15 | 31c8ded9c5 |
hex | 1bf33dd600 |
120045032960 has 160 divisors (see below), whose sum is σ = 294897411072. Its totient is φ = 46851194880.
The previous prime is 120045032929. The next prime is 120045032969. The reversal of 120045032960 is 69230540021.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (120045032969) 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, 19829294 + ... + 19835346.
Almost surely, 2120045032960 is an apocalyptic number.
120045032960 is a gapful number since it is divisible by the number (10) 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 120045032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147448705536).
120045032960 is an abundant number, since it is smaller than the sum of its proper divisors (174852378112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120045032960 is an equidigital number, since it uses as much as digits as its factorization.
120045032960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6264 (or 6248 counting only the distinct ones).
The product of its (nonzero) digits is 12960, while the sum is 32.
Adding to 120045032960 its reverse (69230540021), we get a palindrome (189275572981).
The spelling of 120045032960 in words is "one hundred twenty billion, forty-five million, thirty-two thousand, nine hundred sixty".
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