Base | Representation |
---|---|
bin | 1111011011000… |
… | …00011010100000 |
3 | 100000102122221121 |
4 | 13231200122200 |
5 | 231104313020 |
6 | 20500502024 |
7 | 3130424212 |
oct | 755403240 |
9 | 300378847 |
10 | 129369760 |
11 | 67031463 |
12 | 373aa914 |
13 | 20a57970 |
14 | 132785b2 |
15 | b556baa |
hex | 7b606a0 |
129369760 has 144 divisors (see below), whose sum is σ = 346488408. Its totient is φ = 45342720.
The previous prime is 129369743. The next prime is 129369761. The reversal of 129369760 is 67963921.
129369760 = T481 + T482 + ... + T960.
129369760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 12 ways, for example, as 5626384 + 123743376 = 2372^2 + 11124^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (129369761) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3155340 + ... + 3155380.
Almost surely, 2129369760 is an apocalyptic number.
129369760 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 129369760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173244204).
129369760 is an abundant number, since it is smaller than the sum of its proper divisors (217118648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
129369760 is a wasteful number, since it uses less digits than its factorization.
129369760 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 147 (or 98 counting only the distinct ones).
The product of its (nonzero) digits is 122472, while the sum is 43.
The square root of 129369760 is about 11374.0828201662. The cubic root of 129369760 is about 505.7597426266.
The spelling of 129369760 in words is "one hundred twenty-nine million, three hundred sixty-nine thousand, seven hundred sixty".
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