| Base | Representation |
|---|---|
| bin | 1111100011110… |
| … | …00101101100000 |
| 3 | 100002120222211200 |
| 4 | 13301320231200 |
| 5 | 231403032411 |
| 6 | 20541241200 |
| 7 | 3143245350 |
| oct | 761705540 |
| 9 | 302528750 |
| 10 | 130517856 |
| 11 | 67745aa7 |
| 12 | 37863200 |
| 13 | 2106a401 |
| 14 | 13496b60 |
| 15 | b6d1e56 |
| hex | 7c78b60 |
130517856 has 144 divisors (see below), whose sum is σ = 429051168. Its totient is φ = 36864000.
The previous prime is 130517831. The next prime is 130517879. The reversal of 130517856 is 658715031.
130517856 is a `hidden beast` number, since 130 + 517 + 8 + 5 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 130517856.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203296 + ... + 203936.
It is an arithmetic number, because the mean of its divisors is an integer number (2979522).
Almost surely, 2130517856 is an apocalyptic number.
130517856 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 130517856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214525584).
130517856 is an abundant number, since it is smaller than the sum of its proper divisors (298533312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130517856 is a wasteful number, since it uses less digits than its factorization.
130517856 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 765 (or 754 counting only the distinct ones).
The product of its (nonzero) digits is 25200, while the sum is 36.
The square root of 130517856 is about 11424.4411679522. The cubic root of 130517856 is about 507.2514654195.
The spelling of 130517856 in words is "one hundred thirty million, five hundred seventeen thousand, eight hundred fifty-six".
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