Base | Representation |
---|---|
bin | 1111100001001… |
… | …00110001000000 |
3 | 100001221112011212 |
4 | 13300210301000 |
5 | 231311032031 |
6 | 20530025252 |
7 | 3140314040 |
oct | 760446100 |
9 | 301845155 |
10 | 130174016 |
11 | 67530735 |
12 | 37718228 |
13 | 20c79a5b |
14 | 13407720 |
15 | b66512b |
hex | 7c24c40 |
130174016 has 112 divisors (see below), whose sum is σ = 319186560. Its totient is φ = 51425280.
The previous prime is 130174003. The next prime is 130174021. The reversal of 130174016 is 610471031.
It is a tau number, because it is divible by the number of its divisors (112).
It is a junction number, because it is equal to n+sod(n) for n = 130173982 and 130174000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348806 + ... + 349178.
It is an arithmetic number, because the mean of its divisors is an integer number (2849880).
Almost surely, 2130174016 is an apocalyptic number.
130174016 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 130174016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159593280).
130174016 is an abundant number, since it is smaller than the sum of its proper divisors (189012544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130174016 is a wasteful number, since it uses less digits than its factorization.
130174016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 452 (or 442 counting only the distinct ones).
The product of its (nonzero) digits is 504, while the sum is 23.
The square root of 130174016 is about 11409.3828053931. The cubic root of 130174016 is about 506.8056343953.
The spelling of 130174016 in words is "one hundred thirty million, one hundred seventy-four thousand, sixteen".
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