Base | Representation |
---|---|
bin | 1111100101110… |
… | …00100011100000 |
3 | 100010002021120000 |
4 | 13302320203200 |
5 | 231434414420 |
6 | 20551020000 |
7 | 3145414635 |
oct | 762704340 |
9 | 303067500 |
10 | 130779360 |
11 | 67904518 |
12 | 3796a600 |
13 | 2112c44a |
14 | 1352418c |
15 | b734690 |
hex | 7cb88e0 |
130779360 has 120 divisors (see below), whose sum is σ = 461587896. Its totient is φ = 34871040.
The previous prime is 130779353. The next prime is 130779361. The reversal of 130779360 is 63977031.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130779361) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7915 + ... + 18005.
Almost surely, 2130779360 is an apocalyptic number.
130779360 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 130779360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230793948).
130779360 is an abundant number, since it is smaller than the sum of its proper divisors (330808536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130779360 is a wasteful number, since it uses less digits than its factorization.
130779360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10118 (or 10101 counting only the distinct ones).
The product of its (nonzero) digits is 23814, while the sum is 36.
The square root of 130779360 is about 11435.8803771288. The cubic root of 130779360 is about 507.5900137197.
The spelling of 130779360 in words is "one hundred thirty million, seven hundred seventy-nine thousand, three hundred sixty".
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